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pikulet/sirc-modelling.ipynb

Created November 10, 2021 03:49
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SIRC Modelling
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sirc-modelling.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "SIRC Modelling",
"provenance": [],
"collapsed_sections": [
"32F3T0BXbrlG"
],
"authorship_tag": "ABX9TyOtyntEgu7UpQAtMoFWQ5QP",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/pikulet/a53bb83d8049957f1ac57dfa47ef4d26/sirc-modelling.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TeVgKfsIbls_"
},
"source": [
"# SIRC Model with COVID-19 Data plots"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "32F3T0BXbrlG"
},
"source": [
"## 1. In analogy to α and β, what are the interpretations of γ and δ? (2 pts)\n",
"\n",
" α = rate at which C transforms S to I\n",
"\n",
" β = rate at which I transform S to I\n",
"\n",
" **γ = rate at which C transforms S to C**\n",
"\n",
" **δ = rate at which I transforms S to C**"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wOX9M8jjc9OX"
},
"source": [
"## 2. SIRC Model\n",
"\n",
"![sirc.png](data:image/png;base64,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)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fCvDPoTXjxhI"
},
"source": [
"## 3. Infected versus Carriers in producing symptomatic individuals\n",
"\n",
"### Scenario 1: β > α\n",
"\n",
"Infected individuals are more likely to produce symptomatic infections. \n",
"\n",
"- (Disease Nature) Disease is transmissble via symptoms (e.g. airborne diseases). For instance, when an infectious person coughs or sneezes, and the disease is airborne. Then, symptomatic individuals are more likely to infect others. An example would be influenza.\n",
"- (Human Nature) Infected individuals tend to be not isolated quickly, so they are among the community at large. An example would be influenza.\n",
"\n",
"### Scenario 2: α > β\n",
"\n",
"Carriers are more likely to produce symptomatic infections. \n",
"\n",
"- (Disease Nature) Disease could be too lethal. Infected individuals almost immediately die or are incapacitated, and are unable to spread the disease further. An example would be polio. \n",
"- (Disease Nature) Disease is able to remain in individuals for long periods of time, such that they can remain carriers even after recovery. An example would be typhoid.\n",
"- (Disease Nature) Disease is presymptomatic for long periods of time, so carriers do not know that they have the virus. Carriers are less likely to take precautions to limit the spread. An example would be HIV/AIDS.\n",
"- (Human Nature) Infected individuals are isolated very quickly. An example would be COVID-19 in China.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6nkZeHaRoGOS"
},
"source": [
"## 4. Plot of SIRC against time"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "yNsYEvGbtjO_",
"outputId": "d4f3118c-8aa7-4068-e482-9547b4daf8c9"
},
"source": [
"from scipy.integrate import odeint\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline \n",
"!pip install mpld3\n",
"import mpld3\n",
"mpld3.enable_notebook()"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: mpld3 in /usr/local/lib/python3.7/dist-packages (0.5.5)\n",
"Requirement already satisfied: jinja2 in /usr/local/lib/python3.7/dist-packages (from mpld3) (2.11.3)\n",
"Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (from mpld3) (3.2.2)\n",
"Requirement already satisfied: MarkupSafe>=0.23 in /usr/local/lib/python3.7/dist-packages (from jinja2->mpld3) (2.0.1)\n",
"Requirement already satisfied: numpy>=1.11 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (1.19.5)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (1.3.2)\n",
"Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (2.8.2)\n",
"Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (2.4.7)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (0.11.0)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib->mpld3) (1.15.0)\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "8axsvM-NorZG"
},
"source": [
"def derivative(y, t, alpha, beta, gamma, delta, r):\n",
" S, I, R, C = y\n",
" dSdt = - (beta + delta) * S * I - (alpha + gamma) * S * C\n",
" dIdt = alpha * S * C + beta * S * I - r * I\n",
" dRdt = r * I + r * C\n",
" dCdt = gamma * S * C + delta * S * I - r * C\n",
" return dSdt, dIdt, dRdt, dCdt"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3BTlqm4PruIq"
},
"source": [
"def plotmodel(t, S, I, R, C):\n",
" f, ax = plt.subplots(1,1,figsize=(10,4))\n",
" ax.plot(t, S, 'm', alpha=0.7, linewidth=2, label='Susceptible')\n",
" ax.plot(t, I, 'y', alpha=0.7, linewidth=2, label='Infected')\n",
" ax.plot(t, R, 'r', alpha=0.7, linewidth=2, label='Recovered')\n",
" ax.plot(t, C, 'g', alpha=0.7, linewidth=2, label='Carriers')\n",
" ax.plot(t, S+I+R+C, 'c--', alpha=0.7, linewidth=2, label='Total')\n",
" ax.plot(t, np.full((100,), 0.1), 'b--', alpha=0.7, linewidth=2)\n",
"\n",
" ax.yaxis.set_tick_params(length=0)\n",
" ax.xaxis.set_tick_params(length=0)\n",
" legend = ax.legend(borderpad=2.0)\n",
" legend.get_frame().set_alpha(0.5)\n",
" for spine in ('top', 'right', 'bottom', 'left'):\n",
" ax.spines[spine].set_visible(False)\n",
" plt.show()"
],
"execution_count": 3,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "hGw-ueoitPn2"
},
"source": [
"def simulate(alpha, beta, gamma, delta, r, I_0=0.001, C_0=0, R_0=0):\n",
" t = np.linspace(0, 99, 100)\n",
" S_0 = 1 - I_0 - R_0 - C_0\n",
" y_0 = S_0, I_0, R_0, C_0\n",
"\n",
" ret = odeint(derivative, y_0, t, args=(alpha, beta, gamma, delta, r))\n",
" S, I, R, C = ret.T\n",
" plotmodel(t, S, I, R, C)\n",
" return max(I), max(C)"
],
"execution_count": 4,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 327
},
"id": "uswYcezWnE7C",
"outputId": "3b86e319-9c6e-4557-9f67-3e76c7feabb1"
},
"source": [
"simulate(alpha=0.3, beta=0.7, gamma=0.5, delta=0.2, r=0.05)"
],
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769039104144\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769039105872\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769038628432\"}, {\"text\": 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[0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139769039601936\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397690396019361789688455\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000000000004, 1.0500000000000007], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000000000004, 1.0500000000000007], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139769039157776\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", 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" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397690396019361789688455\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000000000004, 1.0500000000000007], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000000000004, 1.0500000000000007], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139769039157776\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139769039001552\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139769039002896\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139769039069712\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139769039070736\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139769039072080\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139769039102096\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139769039104592\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139769038627152\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139769038628880\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139769038630608\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139769038657040\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139769039103248\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769039104144\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769039105872\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769038628432\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769038630160\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139769038656528\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9976044283370958, 0.0019672813608896255, 7.847541564725485e-05, 0.0003498148863672069, 0.9999999999999999, 0.1], [2.0, 0.994443514875834, 0.0040467620786362206, 0.00025885628421373237, 0.0012508667613156804, 0.9999999999999997, 0.1], [3.0, 0.9873488190234636, 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[0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139769039601936\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.5052459830144158, 0.27226675565055236)"
]
},
"metadata": {},
"execution_count": 5
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wAeKw3hnmQxj"
},
"source": [
"## 5. Finding parameter values where I reaches 0.1\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 327
},
"id": "Ywc0DTKdnPSc",
"outputId": "fd0edb8b-8377-4c1e-b39d-36cf239a80d5"
},
"source": [
"simulate(alpha=0.1, beta=0.3, gamma=0.2, delta=0.5, r=0.1)"
],
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
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"\n",
"\n",
"<style>\n",
"\n",
"</style>\n",
"\n",
"<div id=\"fig_el1035139769038407312247636557\"></div>\n",
"<script>\n",
"function mpld3_load_lib(url, callback){\n",
" var s = document.createElement('script');\n",
" s.src = url;\n",
" s.async = true;\n",
" s.onreadystatechange = s.onload = callback;\n",
" s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
" document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
"}\n",
"\n",
"if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
" // already loaded: just create the figure\n",
" !function(mpld3){\n",
" \n",
" mpld3.draw_figure(\"fig_el1035139769038407312247636557\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05, 1.05], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05, 1.05], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139769038571728\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768873983760\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768874034448\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768874035728\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768874037008\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768874054800\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, 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\"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874099216\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874100944\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874102672\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 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" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el1035139769038407312247636557\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05, 1.05], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05, 1.05], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139769038571728\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768873983760\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768874034448\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768874035728\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768874037008\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768874054800\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768874056208\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768874099664\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768874101392\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768874127760\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768874129488\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768874130512\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768874057360\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874099216\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874100944\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874102672\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874129040\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874130000\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9980252496363231, 0.001250444587091995, 0.00013935764879428604, 0.0005849481277904535, 0.9999999999999998, 0.1], [2.0, 0.9965967540213855, 0.0016312873825319256, 0.00037881935209726206, 0.0013931392439853092, 1.0, 0.1], [3.0, 0.9945099692507399, 0.0022001313516730545, 0.000761345382441206, 0.002528554015145719, 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0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139769038407312\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el1035139769038407312247636557\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05, 1.05], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05, 1.05], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139769038571728\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768873983760\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768874034448\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768874035728\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768874037008\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768874054800\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768874056208\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768874099664\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768874101392\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768874127760\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768874129488\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768874130512\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768874057360\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874099216\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874100944\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874102672\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874129040\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768874130000\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9980252496363231, 0.001250444587091995, 0.00013935764879428604, 0.0005849481277904535, 0.9999999999999998, 0.1], [2.0, 0.9965967540213855, 0.0016312873825319256, 0.00037881935209726206, 0.0013931392439853092, 1.0, 0.1], [3.0, 0.9945099692507399, 0.0022001313516730545, 0.000761345382441206, 0.002528554015145719, 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0.0008305873089579641, 0.9889721296435793, 0.0014870366581114871, 0.9999999999999996, 0.1], [82.0, 0.008701026832595025, 0.0007546871796606329, 0.9891931338023758, 0.0013511521853679558, 0.9999999999999994, 0.1], [83.0, 0.008692658234144569, 0.0006857199731093292, 0.989393942297668, 0.0012276794950776683, 0.9999999999999994, 0.1], [84.0, 0.008685061336938847, 0.0006230527679748389, 0.989576400379553, 0.0011154855155328207, 0.9999999999999996, 0.1], [85.0, 0.008678164554516567, 0.0005661109437217984, 0.9897421829579918, 0.0010135415437694827, 0.9999999999999997, 0.1], [86.0, 0.008671902780522645, 0.0005143712583451814, 0.9898928151069463, 0.0009209108541855179, 0.9999999999999997, 0.1], [87.0, 0.008666217241452464, 0.0004673590768411953, 0.9900296799450125, 0.000836743736693442, 0.9999999999999996, 0.1], [88.0, 0.008661054604807884, 0.0004246427043298837, 0.9901540353383493, 0.0007602673525124524, 0.9999999999999996, 0.1], [89.0, 0.008656366469768103, 0.0003858295457656959, 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0.0003208438328504217, 0.9999999999999996, 0.1], [98.0, 0.00862948106920923, 0.00016282060160850638, 0.990916183482503, 0.0002915148466787231, 0.9999999999999994, 0.1], [99.0, 0.0086276897558902, 0.000147936339912123, 0.9909595074013625, 0.0002648665028345474, 0.9999999999999993, 0.1]], \"data02\": [[0.8015232974910395, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.8373655913978495, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139769038407312\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0.16664465651134733, 0.2982016252639605)"
]
},
"metadata": {},
"execution_count": 6
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vpz_TyJT2Pue"
},
"source": [
"Yes, it is serious. As we can see during the initial waves of COVID (pre-vaccination), many patients required oxygen supplementation. \n",
"\n",
"Having 10% of the population infected stresses the healthcare system as there are not enough healthcare workers and resources like ventilators available for everyone."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9w9DBPStmyG8"
},
"source": [
"## 6. Asymptomatic transmission"
]
},
{
"cell_type": "code",
"metadata": {
"id": "tY43-onWxhHw"
},
"source": [
"def run_experiment(alpha, beta, gamma, delta, r):\n",
" maximal_I, maximal_C = simulate(alpha, beta, gamma, delta, r)\n",
" print(\"Maximal I:\", maximal_I)\n",
" print(\"Maximal C:\", maximal_C)"
],
"execution_count": 7,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "kxNTSUWAxEym"
},
"source": [
"#### Experiment 1: (β, α) = (2, 1)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "YBuortGNu4j6",
"outputId": "51ce748b-79ea-4459-a0d5-1c0aa570a54c"
},
"source": [
"run_experiment(alpha=1, beta=2, gamma=0.3, delta=0.4, r=1)"
],
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
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"\n",
"\n",
"<style>\n",
"\n",
"</style>\n",
"\n",
"<div id=\"fig_el10351397688734388644825605565\"></div>\n",
"<script>\n",
"function mpld3_load_lib(url, callback){\n",
" var s = document.createElement('script');\n",
" s.src = url;\n",
" s.async = true;\n",
" s.onreadystatechange = s.onload = callback;\n",
" s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
" document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
"}\n",
"\n",
"if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
" // already loaded: just create the figure\n",
" !function(mpld3){\n",
" \n",
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" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688734388644825605565\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.0500000004664413, 1.0500000000222127], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.0500000004664413, 1.0500000000222127], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768873782800\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768873588560\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768873590032\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768873624144\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768873625424\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768873626768\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768873140816\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768873143248\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768873169616\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768873171344\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768873201808\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768873203600\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768873141968\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873142800\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873169168\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873170896\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873172624\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873203088\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9943521217753849, 0.0030411530994463322, 0.0020540044426072346, 0.0005527206825615184, 1.0, 0.1], [2.0, 0.9791619089228017, 0.009816921885637106, 0.008998642133045272, 0.002022527058515891, 1.0, 0.1], [3.0, 0.9325974569897246, 0.030074638935688937, 0.031041454431011018, 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-8.487091429892912e-12, 0.8459130903246626, -1.7778883063378848e-12, 1.0000000000000007, 0.1], [94.0, 0.1540869096860787, -7.725442230125673e-12, 0.8459130903232659, -1.6183373513903394e-12, 1.0000000000000009, 0.1], [95.0, 0.1540869096865542, -6.963793030358436e-12, 0.8459130903218691, -1.4587863964427944e-12, 1.0000000000000007, 0.1], [96.0, 0.1540869096870297, -6.2021438305911976e-12, 0.8459130903204723, -1.299235441495249e-12, 1.0000000000000007, 0.1], [97.0, 0.15408690968750524, -5.440494630823959e-12, 0.8459130903190757, -1.1396844865477039e-12, 1.0000000000000007, 0.1], [98.0, 0.15408690968798075, -4.67884543105672e-12, 0.8459130903176789, -9.801335316001583e-13, 1.0000000000000007, 0.1], [99.0, 0.15408690968845629, -3.917196231289482e-12, 0.8459130903162823, -8.205825766526133e-13, 1.0000000000000007, 0.1]], \"data02\": [[0.8015232974910395, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.8373655913978495, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768873438864\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688734388644825605565\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.0500000004664413, 1.0500000000222127], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.0500000004664413, 1.0500000000222127], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768873782800\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768873588560\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768873590032\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768873624144\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768873625424\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768873626768\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768873140816\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768873143248\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768873169616\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768873171344\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768873201808\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768873203600\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768873141968\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873142800\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873169168\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873170896\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873172624\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768873203088\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9943521217753849, 0.0030411530994463322, 0.0020540044426072346, 0.0005527206825615184, 1.0, 0.1], [2.0, 0.9791619089228017, 0.009816921885637106, 0.008998642133045272, 0.002022527058515891, 1.0, 0.1], [3.0, 0.9325974569897246, 0.030074638935688937, 0.031041454431011018, 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0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768873438864\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.15417206643347978\n",
"Maximal C: 0.03229529977905724\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "JzD2iQ_lzQU1"
},
"source": [
"Maximal I = 0.154"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "eluqsTS4yRYX"
},
"source": [
"#### Experiment 2: (β, α) = (1, 2)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "mjn1DNQmyQVo",
"outputId": "469b1e9a-909f-4a12-9fce-87538ddd7161"
},
"source": [
"run_experiment(alpha=2, beta=1, gamma=0.3, delta=0.4, r=1)"
],
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
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"\n",
"\n",
"<style>\n",
"\n",
"</style>\n",
"\n",
"<div id=\"fig_el10351397688729890728110186184\"></div>\n",
"<script>\n",
"function mpld3_load_lib(url, callback){\n",
" var s = document.createElement('script');\n",
" s.src = url;\n",
" s.async = true;\n",
" s.onreadystatechange = s.onload = callback;\n",
" s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
" document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
"}\n",
"\n",
"if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
" // already loaded: just create the figure\n",
" !function(mpld3){\n",
" \n",
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\"el1035139768872989072\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
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1.0000000000000004, 0.1], [99.0, 0.35175692071399073, -1.7176185564651707e-11, 0.6482430793084285, -5.2427577969125566e-12, 1.0000000000000002, 0.1]], \"data02\": [[0.04480286738351255, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.08064516129032259, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.01254480286738352, 0.2470566593083149], [0.23073476702508963, 0.2470566593083149], [0.23431899641577061, 0.2470566593083149], [0.23431899641577061, 0.2562545989698307], [0.23431899641577061, 0.7437454010301693], [0.23431899641577061, 0.752943340691685], [0.23073476702508963, 0.752943340691685], [0.01254480286738352, 0.752943340691685], [0.00896057347670251, 0.752943340691685], [0.00896057347670251, 0.7437454010301693], [0.00896057347670251, 0.2562545989698307], [0.00896057347670251, 0.2470566593083149], [0.01254480286738352, 0.2470566593083149]]}, \"id\": \"el1035139768872989072\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688729890728110186184\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.050000000259268595, 1.0500000000123466], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.050000000259268595, 1.0500000000123466], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872951952\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768872622416\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768872623888\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768872658000\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768872659280\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768872660624\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768872690768\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768872693200\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768872719568\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768872721296\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768872751760\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768872753552\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768872691920\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.09498207885304658, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872692752\"}, {\"text\": \"Infected\", \"position\": [0.09498207885304658, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872719120\"}, {\"text\": \"Recovered\", \"position\": [0.09498207885304658, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872720848\"}, {\"text\": \"Carriers\", \"position\": [0.09498207885304658, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872751312\"}, {\"text\": \"Total\", \"position\": [0.09498207885304658, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872753040\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9970493370147746, 0.0013381099742359073, 0.0012864815994162654, 0.0003260714115734007, 1.0000000000000002, 0.1], [2.0, 0.9934566166531158, 0.0023122147691442226, 0.003547643149322401, 0.0006835254284176543, 1.0000000000000002, 0.1], [3.0, 0.986941165882038, 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0.35175692058325975, -9.382236088429103e-11, 0.6482430795392005, -2.8637761202228002e-11, 1.0000000000000002, 0.1], [74.0, 0.35175692060000086, -8.400721497238316e-11, 0.6482430795096482, -2.5641847159381553e-11, 1.0, 0.1], [75.0, 0.35175692061674196, -7.41920690604753e-11, 0.6482430794800961, -2.26459331165351e-11, 1.0, 0.1], [76.0, 0.35175692063348313, -6.437692314856743e-11, 0.6482430794505439, -1.9650019073688647e-11, 1.0, 0.1], [77.0, 0.35175692065022424, -5.456177723665955e-11, 0.6482430794209917, -1.6654105030842192e-11, 1.0000000000000002, 0.1], [78.0, 0.35175692066696534, -4.474663132475168e-11, 0.6482430793914395, -1.3658190987995742e-11, 1.0, 0.1], [79.0, 0.35175692068370645, -3.493148541284381e-11, 0.6482430793618874, -1.066227694514929e-11, 1.0, 0.1], [80.0, 0.35175692070044756, -2.511633950093594e-11, 0.6482430793323352, -7.666362902302837e-12, 1.0, 0.1], [81.0, 0.35175692070504094, -2.2423286483361148e-11, 0.6482430793242268, -6.844352084912365e-12, 1.0, 0.1], [82.0, 0.35175692070553816, -2.2131780876766176e-11, 0.6482430793233491, -6.755374624467931e-12, 1.0, 0.1], [83.0, 0.35175692070603537, -2.1840275270171208e-11, 0.6482430793224714, -6.666397164023497e-12, 1.0, 0.1], [84.0, 0.3517569207065326, -2.154876966357624e-11, 0.6482430793215938, -6.577419703579064e-12, 1.0000000000000002, 0.1], [85.0, 0.3517569207070298, -2.125726405698127e-11, 0.648243079320716, -6.48844224313463e-12, 1.0000000000000002, 0.1], [86.0, 0.351756920707527, -2.0965758450386302e-11, 0.6482430793198384, -6.399464782690196e-12, 1.0, 0.1], [87.0, 0.3517569207080242, -2.0674252843791333e-11, 0.6482430793189606, -6.310487322245762e-12, 1.0, 0.1], [88.0, 0.35175692070852144, -2.0382747237196365e-11, 0.648243079318083, -6.221509861801329e-12, 1.0000000000000002, 0.1], [89.0, 0.3517569207090186, -2.0091241630601396e-11, 0.6482430793172054, -6.132532401356895e-12, 1.0000000000000002, 0.1], [90.0, 0.3517569207095158, -1.9799736024006424e-11, 0.6482430793163276, -6.043554940912461e-12, 1.0, 0.1], [91.0, 0.351756920710013, -1.9508230417411456e-11, 0.64824307931545, -5.954577480468027e-12, 1.0000000000000002, 0.1], [92.0, 0.35175692071051023, -1.9216724810816487e-11, 0.6482430793145723, -5.865600020023594e-12, 1.0000000000000002, 0.1], [93.0, 0.35175692071100745, -1.8925219204221522e-11, 0.6482430793136946, -5.77662255957916e-12, 1.0000000000000002, 0.1], [94.0, 0.35175692071150466, -1.863371359762655e-11, 0.6482430793128169, -5.687645099134726e-12, 1.0000000000000002, 0.1], [95.0, 0.3517569207120019, -1.834220799103158e-11, 0.6482430793119393, -5.598667638690292e-12, 1.0000000000000002, 0.1], [96.0, 0.3517569207124991, -1.8050702384436613e-11, 0.6482430793110616, -5.5096901782458586e-12, 1.0000000000000004, 0.1], [97.0, 0.3517569207129963, -1.7759196777841644e-11, 0.6482430793101839, -5.4207127178014246e-12, 1.0000000000000002, 0.1], [98.0, 0.3517569207134935, -1.7467691171246676e-11, 0.6482430793093062, -5.3317352573569906e-12, 1.0000000000000004, 0.1], [99.0, 0.35175692071399073, -1.7176185564651707e-11, 0.6482430793084285, -5.2427577969125566e-12, 1.0000000000000002, 0.1]], \"data02\": [[0.04480286738351255, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.08064516129032259, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.01254480286738352, 0.2470566593083149], [0.23073476702508963, 0.2470566593083149], [0.23431899641577061, 0.2470566593083149], [0.23431899641577061, 0.2562545989698307], [0.23431899641577061, 0.7437454010301693], [0.23431899641577061, 0.752943340691685], [0.23073476702508963, 0.752943340691685], [0.01254480286738352, 0.752943340691685], [0.00896057347670251, 0.752943340691685], [0.00896057347670251, 0.7437454010301693], [0.00896057347670251, 0.2562545989698307], [0.00896057347670251, 0.2470566593083149], [0.01254480286738352, 0.2470566593083149]]}, \"id\": \"el1035139768872989072\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.06410829763705557\n",
"Maximal C: 0.01956805165593842\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "d6-0GNLGzT11"
},
"source": [
"Maximal I = 0.064"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Hmh3oQdsyiRT"
},
"source": [
"### Analysis\n",
"\n",
"α > β resulted in a decrease in the maximal I"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RBeL1_Fsyw7-"
},
"source": [
"#### Experiment 3: (β, α) = (2, 1)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "otdM1wWjy0RJ",
"outputId": "7b8d5bd7-516a-437b-f8c5-4e3dc73d7479"
},
"source": [
"run_experiment(alpha=1, beta=2, gamma=10, delta=0.1, r=1)"
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
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" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
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1.0000000000000002, 0.1], [95.0, 4.687816441849862e-05, -9.366310177621504e-15, 0.9999531218356639, -7.287684229168077e-14, 1.0000000000000002, 0.1], [96.0, 4.6878164418514266e-05, -5.5629092432580985e-15, 0.9999531218356305, -4.328339139942396e-14, 1.0, 0.1], [97.0, 4.687816441851434e-05, -5.545415055112572e-15, 0.9999531218356303, -4.3147273920346155e-14, 1.0000000000000002, 0.1], [98.0, 4.687816441851441e-05, -5.527920866967045e-15, 0.9999531218356301, -4.301115644126834e-14, 1.0, 0.1], [99.0, 4.687816441851448e-05, -5.510426678821519e-15, 0.99995312183563, -4.2875038962190534e-14, 1.0000000000000002, 0.1]], \"data02\": [[0.8015232974910395, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.8373655913978495, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768872832464\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688728324641524689642\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000048085276, 1.0500000000228982], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000048085276, 1.0500000000228982], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872504656\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768872164048\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768872206544\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768872207824\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768872209104\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768872235088\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768872236496\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768872238928\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768872277584\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768872279312\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768872309776\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768872311568\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768872237648\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872238480\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872277136\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872278864\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872309328\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872311056\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.8853050105511449, 0.013553153838549941, 0.013406688682604327, 0.08773514692770094, 1.0, 0.1], [2.0, 0.005670796283565752, 0.054076253802101994, 0.5197408825178316, 0.42051206739650115, 1.0000000000000004, 0.1], [3.0, 0.0002754963518444413, 0.02017476175405885, 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0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768872832464\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.054076253802101994\n",
"Maximal C: 0.42051206739650115\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "T0dRfm19zWDg"
},
"source": [
"Maximal I = 0.054"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "htN__NuGzA2A"
},
"source": [
"#### Experiment 4: (β, α) = (1, 2)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "bpg6ROsozFVM",
"outputId": "1c8263a6-e708-45a8-9fac-4b4bf360ca1b"
},
"source": [
"run_experiment(alpha=2, beta=1, gamma=10, delta=0.1, r=1)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
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204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871800592\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871302672\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871304400\"}, {\"text\": 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[0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871920464\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688719204643790514308\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.050000000480430754, 1.050000000022878], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.050000000480430754, 1.050000000022878], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872030672\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", 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[0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871920464\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688719204643790514308\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.050000000480430754, 1.050000000022878], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.050000000480430754, 1.050000000022878], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872030672\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768871717968\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768871776848\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768871778128\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768871779408\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768871797200\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768871798608\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768871301392\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768871303120\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768871304848\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768871339408\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768871341200\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768871799760\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871800592\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871302672\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871304400\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871338960\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871340688\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.8893622857943896, 0.018600828353501138, 0.012477972079048749, 0.0795589137730603, 0.9999999999999999, 0.1], [2.0, 0.00561015635593041, 0.08670639879615254, 0.5186038546660178, 0.3890795901818989, 0.9999999999999996, 0.1], [3.0, 0.0002683168172957612, 0.032350209601603015, 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[81.0, 4.524878787623755e-05, -1.5244853135021856e-13, 0.9999547512129603, -6.841688383604449e-13, 1.0, 0.1], [82.0, 4.524878787626381e-05, -1.4189534787674937e-13, 0.9999547512129023, -6.368075664781666e-13, 0.9999999999999998, 0.1], [83.0, 4.524878787629006e-05, -1.3134216440328022e-13, 0.9999547512128444, -5.894462945958885e-13, 0.9999999999999999, 0.1], [84.0, 4.524878787631632e-05, -1.2078898092981103e-13, 0.9999547512127864, -5.420850227136102e-13, 0.9999999999999999, 0.1], [85.0, 4.524878787634257e-05, -1.1023579745634187e-13, 0.9999547512127285, -4.94723750831332e-13, 0.9999999999999998, 0.1], [86.0, 4.5248787876368826e-05, -9.96826139828727e-14, 0.9999547512126705, -4.4736247894905384e-13, 0.9999999999999999, 0.1], [87.0, 4.524878787639508e-05, -8.912943050940352e-14, 0.9999547512126127, -4.0000120706677563e-13, 0.9999999999999999, 0.1], [88.0, 4.5248787876421335e-05, -7.857624703593435e-14, 0.9999547512125547, -3.526399351844974e-13, 1.0, 0.1], [89.0, 4.5248787876447587e-05, 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[0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871920464\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.08670639879615254\n",
"Maximal C: 0.3890795901818989\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "_TLWi9fozXrX"
},
"source": [
"Maximal I = 0.087"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "atuWxJrYzJlW"
},
"source": [
"### Analysis\n",
"\n",
"α > β resulted in an increase in the maximal I"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "OMd_jWPTzsV5"
},
"source": [
"#### Experiment 5: (β, α) = (2, 1)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "meUeyqpYz7O_",
"outputId": "7eddc07f-26bf-4b83-fe18-8305756387d3"
},
"source": [
"run_experiment(alpha=1, beta=2, gamma=3, delta=0.3, r=1)"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
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[0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871410320\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688714103202234755656\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000045900969, 1.0500000000218581], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000045900969, 1.0500000000218581], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768871105232\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", 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[0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871410320\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688714103202234755656\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000045900969, 1.0500000000218581], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000045900969, 1.0500000000218581], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768871105232\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768870801936\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768870803408\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768870804688\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768870834704\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768870836048\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768870837456\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768870860432\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768870862160\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768870896720\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768870898448\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768870933072\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768870859152\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870859984\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870861712\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870896272\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870898000\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870899664\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9929412669347644, 0.0032941974178837727, 0.0023102828477793882, 0.0014542527995725237, 1.0, 0.1], [2.0, 0.95079468609118, 0.016962710410071944, 0.01659915496776843, 0.01564344853097943, 0.9999999999999998, 0.1], [3.0, 0.7097538091684558, 0.08509458298306768, 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0.9534396884276606, -1.806432438908782e-12, 0.9999999999999999, 0.1], [79.0, 0.04656031157562891, -1.4139286076906362e-12, 0.9534396884275302, -1.7452985407028567e-12, 1.0, 0.1], [80.0, 0.04656031157564857, -1.3644009149165086e-12, 0.9534396884273999, -1.6841646424969315e-12, 0.9999999999999998, 0.1], [81.0, 0.04656031157566822, -1.314873222142381e-12, 0.9534396884272696, -1.623030744291006e-12, 0.9999999999999999, 0.1], [82.0, 0.04656031157568788, -1.2653455293682533e-12, 0.9534396884271392, -1.5618968460850806e-12, 1.0, 0.1], [83.0, 0.04656031157570753, -1.2158178365941257e-12, 0.953439688427009, -1.5007629478791554e-12, 1.0, 0.1], [84.0, 0.04656031157572719, -1.166290143819998e-12, 0.9534396884268787, -1.43962904967323e-12, 0.9999999999999999, 0.1], [85.0, 0.046560311575746846, -1.1167624510458703e-12, 0.9534396884267483, -1.3784951514673048e-12, 1.0, 0.1], [86.0, 0.0465603115757665, -1.0672347582717425e-12, 0.953439688426618, -1.3173612532613792e-12, 0.9999999999999998, 0.1], [87.0, 0.046560311575786155, -1.017707065497615e-12, 0.9534396884264877, -1.256227355055454e-12, 0.9999999999999999, 0.1], [88.0, 0.04656031157580581, -9.681793727234873e-13, 0.9534396884263574, -1.1950934568495285e-12, 1.0, 0.1], [89.0, 0.046560311575825464, -9.186516799493596e-13, 0.9534396884262271, -1.1339595586436033e-12, 0.9999999999999998, 0.1], [90.0, 0.04656031157584512, -8.69123987175232e-13, 0.9534396884260967, -1.0728256604376779e-12, 0.9999999999999999, 0.1], [91.0, 0.04656031157586478, -8.195962944011043e-13, 0.9534396884259664, -1.0116917622317525e-12, 0.9999999999999999, 0.1], [92.0, 0.04656031157588443, -7.700686016269766e-13, 0.9534396884258362, -9.50557864025827e-13, 1.0, 0.1], [93.0, 0.04656031157590409, -7.20540908852849e-13, 0.9534396884257058, -8.894239658199018e-13, 0.9999999999999999, 0.1], [94.0, 0.046560311575923746, -6.710132160787213e-13, 0.9534396884255755, -8.282900676139765e-13, 0.9999999999999999, 0.1], [95.0, 0.0465603115759434, -6.214855233045936e-13, 0.9534396884254451, -7.671561694080512e-13, 0.9999999999999998, 0.1], [96.0, 0.046560311575963055, -5.71957830530466e-13, 0.9534396884253148, -7.060222712021259e-13, 0.9999999999999999, 0.1], [97.0, 0.046560311575982706, -5.224301377563383e-13, 0.9534396884251846, -6.448883729962006e-13, 0.9999999999999999, 0.1], [98.0, 0.046560311576002364, -4.729024449822107e-13, 0.9534396884250542, -5.837544747902753e-13, 1.0, 0.1], [99.0, 0.04656031157602202, -4.2337475220808307e-13, 0.9534396884249239, -5.226205765843499e-13, 0.9999999999999999, 0.1]], \"data02\": [[0.8015232974910395, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.8373655913978495, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871410320\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.14778543585448917\n",
"Maximal C: 0.17564292535070639\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Ckmfqc1a0CWe"
},
"source": [
"Maximal I = 0.148"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "X49OUKCR0E2G"
},
"source": [
"#### Experiment 6: (β, α) = (1, 2)"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "DsdRirB_0Jte",
"outputId": "e84638e4-d906-48c0-f7c3-3955c91a7266"
},
"source": [
"run_experiment(alpha=2, beta=1, gamma=3, delta=0.3, r=1)"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
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" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688713681441907168797\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000046558204, 1.0500000000221705], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000046558204, 1.0500000000221705], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768871019792\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", 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0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871368144\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688713681441907168797\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000046558204, 1.0500000000221705], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000046558204, 1.0500000000221705], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768871019792\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768870860688\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768870859472\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768870862736\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768870934608\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768870933200\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768871018640\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768871020816\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768870982544\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768870983696\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768870619536\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768870569360\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768871020944\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871021008\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870984144\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870985168\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870696912\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768870570832\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.995739832118766, 0.0016873061676999617, 0.0015295864731409191, 0.001043275240392999, 1.0, 0.1], [2.0, 0.9698168629331878, 0.009767900606474847, 0.010012869092839343, 0.010402367367497969, 1.0, 0.1], [3.0, 0.7869246894880485, 0.06528928925126469, 0.07431995438330817, 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0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871368144\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.15363077299881306\n",
"Maximal C: 0.17371654019513338\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "rq1gbKa00dJu"
},
"source": [
"Maximal I: 0.154"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "NOz3boHl0sSh"
},
"source": [
"### Analysis\n",
"\n",
"α > β resulted in a maximal I values that are fairly equal"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Q5QyUCvC0j5q"
},
"source": [
"### Overall Analysis\n",
"\n",
"α > β does not necessarily result in a higher or lower maximal I. It also depends on the other parameters, namely γ and δ.\n",
"\n",
"If α > β and the γ value is high, then there is a large resident pool of carriers that contribute to high infection rates.\n",
"\n",
"If α > β and the γ value is low, then ?"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1f0haJH21YVP"
},
"source": [
"## 7. Find a combination of values of (β,α) such that the peak for C is ten times higher than the peak for I. "
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"id": "25VTwc2011Ie",
"outputId": "3e21b10e-ffc9-4405-ea31-a34a1aa872ac"
},
"source": [
"run_experiment(alpha=0.1, beta=0.9, gamma=2, delta=0.3, r=1)"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
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"\n",
"\n",
"<style>\n",
"\n",
"</style>\n",
"\n",
"<div id=\"fig_el10351397688715998242750765172\"></div>\n",
"<script>\n",
"function mpld3_load_lib(url, callback){\n",
" var s = document.createElement('script');\n",
" s.src = url;\n",
" s.async = true;\n",
" s.onreadystatechange = s.onload = callback;\n",
" s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
" document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
"}\n",
"\n",
"if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
" // already loaded: just create the figure\n",
" !function(mpld3){\n",
" \n",
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" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688715998242750765172\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000048275389, 1.0500000000229885], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000048275389, 1.0500000000229885], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872033872\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768871173520\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768871856400\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768871855696\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768871855824\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768871570320\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768871568912\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768872062288\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768872062160\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768872059216\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768871885008\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768871884560\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768871570256\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871568976\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872062096\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872060944\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871886736\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871885840\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9974151868125383, 0.000923667093710476, 0.0011662776121745492, 0.0004948684815765437, 0.9999999999999999, 0.1], [2.0, 0.9941373206788541, 0.000932451723383658, 0.0031270853608362575, 0.0018031422369257633, 0.9999999999999998, 0.1], [3.0, 0.9861212719658619, 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0.8029390814815829, -1.4078444350399827e-11, 1.0, 0.1], [97.0, 0.1970609185343946, -1.1700129906298488e-12, 0.8029390814799572, -1.318162586101633e-11, 1.0000000000000002, 0.1], [98.0, 0.19706091853504384, -1.0904106770968111e-12, 0.8029390814783315, -1.2284807371632833e-11, 1.0, 0.1], [99.0, 0.19706091853569307, -1.0108083635637737e-12, 0.8029390814767059, -1.1387988882249337e-11, 1.0000000000000002, 0.1]], \"data02\": [[0.8015232974910395, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417], [0.8373655913978495, 0.6402685798381162, 0.5712840323767475, 0.5022994849153789, 0.43331493745401034, 0.3643303899926417]], \"data03\": [[0.7692652329749105, 0.2470566593083149], [0.9874551971326165, 0.2470566593083149], [0.9910394265232975, 0.2470566593083149], [0.9910394265232975, 0.2562545989698307], [0.9910394265232975, 0.7437454010301693], [0.9910394265232975, 0.752943340691685], [0.9874551971326165, 0.752943340691685], [0.7692652329749105, 0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871599824\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688715998242750765172\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-4.95, 103.95], \"ylim\": [-0.05000000048275389, 1.0500000000229885], \"xdomain\": [-4.95, 103.95], \"ydomain\": [-0.05000000048275389, 1.0500000000229885], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872033872\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768871173520\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el1035139768871856400\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el1035139768871855696\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el1035139768871855824\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el1035139768871570320\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 6, \"coordinates\": \"data\", \"id\": \"el1035139768871568912\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el1035139768872062288\", \"color\": \"#BF00BF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el1035139768872062160\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el1035139768872059216\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el1035139768871885008\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el1035139768871884560\", \"color\": \"#00BFBF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el1035139768871570256\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Susceptible\", \"position\": [0.8517025089605735, 0.6241721854304636], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871568976\"}, {\"text\": \"Infected\", \"position\": [0.8517025089605735, 0.5551876379690949], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872062096\"}, {\"text\": \"Recovered\", \"position\": [0.8517025089605735, 0.48620309050772625], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768872060944\"}, {\"text\": \"Carriers\", \"position\": [0.8517025089605735, 0.41721854304635764], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871886736\"}, {\"text\": \"Total\", \"position\": [0.8517025089605735, 0.348233995584989], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el1035139768871885840\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.999, 0.001, 0.0, 0.0, 1.0, 0.1], [1.0, 0.9974151868125383, 0.000923667093710476, 0.0011662776121745492, 0.0004948684815765437, 0.9999999999999999, 0.1], [2.0, 0.9941373206788541, 0.000932451723383658, 0.0031270853608362575, 0.0018031422369257633, 0.9999999999999998, 0.1], [3.0, 0.9861212719658619, 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-3.3192754560218633e-12, 0.8029390815238497, -3.739572507437074e-11, 0.9999999999999999, 0.1], [71.0, 0.19706091851751442, -3.239673142488826e-12, 0.8029390815222242, -3.6498906584987246e-11, 0.9999999999999999, 0.1], [72.0, 0.19706091851816365, -3.160070828955788e-12, 0.8029390815205985, -3.560208809560374e-11, 0.9999999999999999, 0.1], [73.0, 0.19706091851881288, -3.0804685154227507e-12, 0.8029390815189729, -3.470526960622025e-11, 1.0, 0.1], [74.0, 0.19706091851946214, -3.0008662018897132e-12, 0.8029390815173472, -3.3808451116836756e-11, 1.0, 0.1], [75.0, 0.19706091852011137, -2.9212638883566754e-12, 0.8029390815157216, -3.291163262745326e-11, 1.0, 0.1], [76.0, 0.1970609185207606, -2.841661574823638e-12, 0.8029390815140959, -3.201481413806976e-11, 1.0, 0.1], [77.0, 0.19706091852140983, -2.7620592612906e-12, 0.8029390815124702, -3.111799564868626e-11, 1.0, 0.1], [78.0, 0.1970609185220591, -2.6824569477575628e-12, 0.8029390815108446, -3.0221177159302767e-11, 1.0, 0.1], [79.0, 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0.752943340691685], [0.7656810035842294, 0.752943340691685], [0.7656810035842294, 0.7437454010301693], [0.7656810035842294, 0.2562545989698307], [0.7656810035842294, 0.2470566593083149], [0.7692652329749105, 0.2470566593083149]]}, \"id\": \"el1035139768871599824\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximal I: 0.012887438249485841\n",
"Maximal C: 0.14339005870929994\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vH9rsgPC3E5V"
},
"source": [
"(β, α) = (0.9, 0.1),\n",
"\n",
"Maximal I = 0.0129\n",
"\n",
"Maximal C = 0.143"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "G7KYZUD83q0b"
},
"source": [
"In epidemic management, a disease with a large carrier population is good as the curve for healthcare resource needs is more \"flat\". People don't all need the healthcare resources at the same time."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WyfNJV6d44Xo"
},
"source": [
"## 8. Plot of daily COVID-19 cases"
]
},
{
"cell_type": "code",
"metadata": {
"id": "dKd1lX_-5Xm2"
},
"source": [
"import pandas as pd\n",
"import matplotlib.dates as mdates"
],
"execution_count": 15,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "XtMqW4Hro7JQ"
},
"source": [
"# from google.colab import files\n",
"# uploaded = files.upload()"
],
"execution_count": 16,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "XcZjjHS8uGh7"
},
"source": [
"COUNTRY_CODE = 'Code'\n",
"DAY = 'Day'\n",
"CASE_COUNT = 'Daily new confirmed cases of COVID-19'"
],
"execution_count": 17,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "9MSIhtjlDaEm"
},
"source": [
"df = pd.read_csv('daily_covid_data.csv')"
],
"execution_count": 18,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "gdw1toFDDe3d"
},
"source": [
"def get_country_data(country_code):\n",
" data = df.loc[df[COUNTRY_CODE] == country_code]\n",
" dates = pd.to_datetime(data[DAY])\n",
" case_count = data[CASE_COUNT].astype(int)\n",
" return dates.to_frame().join(case_count)"
],
"execution_count": 19,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "dmlmks-2tEeD"
},
"source": [
"def plot_all_from_country(country_code):\n",
" data = get_country_data(country_code)\n",
" plot(data[DAY], data[CASE_COUNT], country_code)"
],
"execution_count": 20,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "epE5qfzcpAdH"
},
"source": [
"def plot(dates, case_count, country_code, linear_fit=False):\n",
" f, ax = plt.subplots(1,1,figsize=(10,4))\n",
" ax.xaxis.set_major_formatter(mdates.DateFormatter('%d/%m/%Y'))\n",
" ax.xaxis.set_major_locator(mdates.DayLocator(interval=7))\n",
" ax.plot(dates, case_count)\n",
"\n",
" if linear_fit:\n",
" dates_num = mdates.date2num(dates)\n",
" fit = np.polyfit(dates_num, case_count, 1)\n",
" ax.plot(dates_num, np.poly1d(fit)(dates_num))\n",
" print(\"Average doubling rate:\", 1/fit[0])\n",
"\n",
" f.autofmt_xdate()\n",
" ax.set_title('Infections in {country_code}'.format(country_code=country_code))\n",
" plt.show()"
],
"execution_count": 21,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 309
},
"id": "ttfmT5YCCMtj",
"outputId": "ae9d8a7b-64a6-4499-d9bb-591546a86639"
},
"source": [
"# singapore\n",
"plot_all_from_country('SGP')"
],
"execution_count": 22,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"<style>\n",
"\n",
"</style>\n",
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" !function(mpld3){\n",
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" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397690631737761594984929\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.20000000000000007, 0.775, 0.6799999999999999], \"xlim\": [737416.05, 738096.95], \"ylim\": [-145.45000000000002, 3054.45], \"xdomain\": [[2019, 11, 23, 1, 12, 0, 0.0], [2021, 10, 2, 22, 48, 0, 0.0]], \"ydomain\": [-145.45000000000002, 3054.45], \"xscale\": \"date\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 97, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768872549712\", \"lines\": [{\"data\": \"data01\", 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[738019.0, 56.0], [738020.0, 53.0], [738021.0, 32.0], [738022.0, 40.0], [738023.0, 37.0], [738024.0, 35.0], [738025.0, 98.0], [738026.0, 116.0], [738027.0, 120.0], [738028.0, 116.0], [738029.0, 0.0], [738030.0, 243.0], [738031.0, 0.0], [738032.0, 288.0], [738033.0, 161.0], [738034.0, 180.0], [738035.0, 191.0], [738036.0, 219.0], [738037.0, 259.0], [738038.0, 191.0], [738039.0, 241.0], [738040.0, 332.0], [738041.0, 349.0], [738042.0, 457.0], [738043.0, 573.0], [738044.0, 555.0], [738045.0, 520.0], [738046.0, 607.0], [738047.0, 837.0], [738048.0, 807.0], [738049.0, 910.0], [738050.0, 935.0], [738051.0, 1009.0], [738052.0, 1012.0], [738053.0, 917.0], [738054.0, 1178.0], [738055.0, 1457.0], [738056.0, 1504.0], [738057.0, 1650.0], [738058.0, 1443.0], [738059.0, 1939.0], [738060.0, 1647.0], [738061.0, 2236.0], [738062.0, 2268.0], [738063.0, 2478.0], [738064.0, 2909.0], [738065.0, 2356.0], [738066.0, 2057.0]]}, \"id\": \"el1035139769063173776\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" });\n",
" });\n",
"}else{\n",
" // require.js not available: dynamically load d3 & mpld3\n",
" mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
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\"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" })\n",
" });\n",
"}\n",
"</script>"
],
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 309
},
"id": "psLTjrGZCOJc",
"outputId": "f7cc0a89-7b78-44e6-df99-f98606da7828"
},
"source": [
"# united kingdom\n",
"plot_all_from_country('GBR')"
],
"execution_count": 23,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/html": [
"\n",
"\n",
"<style>\n",
"\n",
"</style>\n",
"\n",
"<div id=\"fig_el10351397688724051361374799149\"></div>\n",
"<script>\n",
"function mpld3_load_lib(url, callback){\n",
" var s = document.createElement('script');\n",
" s.src = url;\n",
" s.async = true;\n",
" s.onreadystatechange = s.onload = callback;\n",
" s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
" document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
"}\n",
"\n",
"if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
" // already loaded: just create the figure\n",
" !function(mpld3){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688724051361374799149\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.20000000000000007, 0.775, 0.6799999999999999], \"xlim\": [737424.45, 738096.55], \"ylim\": [-8435.95, 71840.95], \"xdomain\": [[2019, 11, 31, 10, 48, 0, 0.0], [2021, 10, 2, 13, 12, 0, 0.0]], \"ydomain\": [-8435.95, 71840.95], \"xscale\": \"date\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 96, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768871777936\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, 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\"el1035139768872405136\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
" }(mpld3);\n",
"}else if(typeof define === \"function\" && define.amd){\n",
" // require.js is available: use it to load d3/mpld3\n",
" require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
" require([\"d3\"], function(d3){\n",
" window.d3 = d3;\n",
" mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
" \n",
" mpld3.draw_figure(\"fig_el10351397688724051361374799149\", {\"width\": 720.0, \"height\": 288.0, \"axes\": [{\"bbox\": [0.125, 0.20000000000000007, 0.775, 0.6799999999999999], \"xlim\": [737424.45, 738096.55], \"ylim\": [-8435.95, 71840.95], \"xdomain\": [[2019, 11, 31, 10, 48, 0, 0.0], [2021, 10, 2, 13, 12, 0, 0.0]], \"ydomain\": [-8435.95, 71840.95], \"xscale\": \"date\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 96, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": false}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el1035139768871777936\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el1035139768873446672\", \"color\": \"#1F77B4\", \"linewidth\": 1.5, \"dasharray\": \"none\", \"alpha\": 1, \"zorder\": 2, \"drawstyle\": \"default\"}], \"paths\": [], \"markers\": [], \"texts\": [{\"text\": \"Infections in GBR\", \"position\": [0.5, 1.030637254901961], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 12.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el1035139768873616016\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[737455.0, 2.0], [737456.0, 0.0], [737457.0, 0.0], [737458.0, 6.0], [737459.0, 0.0], [737460.0, 1.0], [737461.0, 0.0], [737462.0, 0.0], [737463.0, 4.0], [737464.0, 1.0], [737465.0, 0.0], [737466.0, 1.0], [737467.0, 1.0], [737468.0, 1.0], [737469.0, 1.0], [737470.0, 0.0], [737471.0, 0.0], [737472.0, 1.0], [737473.0, 0.0], [737474.0, 1.0], [737475.0, 2.0], [737476.0, 1.0], [737477.0, 0.0], [737478.0, 5.0], [737479.0, 2.0], [737480.0, 4.0], [737481.0, 3.0], [737482.0, 7.0], [737483.0, 12.0], [737484.0, 5.0], [737485.0, 33.0], [737486.0, 40.0], [737487.0, 55.0], [737488.0, 57.0], [737489.0, 49.0], [737490.0, 79.0], [737491.0, 55.0], [737492.0, 54.0], [737493.0, 147.0], [737494.0, 259.0], [737495.0, 412.0], [737496.0, 489.0], [737497.0, 480.0], [737498.0, 364.0], [737499.0, 443.0], [737500.0, 615.0], [737501.0, 770.0], [737502.0, 1006.0], [737503.0, 1066.0], [737504.0, 1258.0], [737505.0, 1215.0], [737506.0, 1388.0], [737507.0, 2349.0], [737508.0, 2382.0], [737509.0, 2717.0], [737510.0, 3127.0], [737511.0, 3249.0], [737512.0, 2843.0], [737513.0, 2892.0], [737514.0, 4327.0], [737515.0, 4534.0], [73
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