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"<a href=\"https://colab.research.google.com/gist/restrepo/e042e9e868c1192e4eb96e908e49f3ea/covid_lat.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Qa-ILp09sfrw",
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"source": [
"# Modelo para propagación de COVID-19 Colombia\n",
"\n",
"\n",
"### Por Juvenal Yosa PhD juvenal.yosa@unisimonbolivar.edu.co\n",
"\n",
"\n",
"\n",
"## Precaución!!!!\n",
"\n",
"#### Antes que nada hay que decir que este es un ejercicio académico que sirve a los tomadores de desiciones y a la comunidad en general para generar conciencia y verificar la importancia del distanciamiento social.\n",
"\n",
"\n",
"El SARS-CoV-2, un nuevo coronavirus que ha surgido en la ciudad de Wuhan, provincia de Hubei, China, a principios de diciembre de 2019. Desde entonces, los gobiernos locales y nacionales en todos los países donde los casos van en aumento, han tomado medidas sin precedentes en respuesta al brote de COVID-19 causado por SARS-CoV-2.\n",
"\n",
"La transmisión de persona a persona se debe principalmente a \"quién interactúa con quién\", que puede variar según la edad y la ubicación del contacto, es decir, la escuela, el trabajo, el hogar y la comunidad. En el contexto de un brote continuo a gran escala, los patrones de contacto cambiarían drásticamente de sus condiciones de referencia. En el brote de COVID-19 en Wuhan, las medidas de distanciamiento social que incluyen, entre otras, el cierre de escuelas y lugares de trabajo y las promociones de salud que alientan al público en general a evitar lugares concurridos, están diseñadas para cambiar drásticamente los patrones de mezcla social y a menudo se usan en entornos epidémicos. Si bien los patrones de contacto se pueden inferir de los datos de contacto social informados que incluyen la información en la que tuvo lugar el contacto, tales estudios a menudo se centran en países de altos ingresos, o en áreas particulares de alta densidad. el hogar, la escuela, el trabajo y otros lugares en una variedad de países según la información disponible de los datos a nivel del hogar y la estructura demográfica de la población local.\n",
"\n",
"## Modelo SEIR\n",
"\n",
"El modelo SEIR considera la dinámica de una epidemia dividiendo la población afectada en cuatro grupos: \n",
"\n",
"1 Los susceptibles (S: susceptible) son aquellos que podrían contraer la enfermedad al estar en contacto con los infectados.\n",
"\n",
"2 Los expuestos (E: exposed) son los que se encuentran en periodo de incubación y por tanto no presentan síntomas, por lo que no transmitirían la infección.\n",
"\n",
"3 Los infectados (I: infected) son los que presentan síntomas y transmiten la enfermedad.\n",
"\n",
"4 Los recuperados o removidos (R: recupered) son los que han sido retirados de la dinámica del estudio y no vuelven a contagiarse de acuerdo con este modelo.\n",
"\n",
"\n",
"Este es un modelo de ecuaciomes diferenciales ordinarias, descrito de la siguiente manera:\n",
"\n",
"$$ \\frac{dS}{dt} = - \\beta SI $$\\\n",
"$$ \\frac{dE}{dt} = \\beta SI - \\alpha E $$\\\n",
"$$ \\frac{dI}{dt} = \\alpha E - \\gamma I $$\\\n",
"$$ \\frac{dR}{dt} = \\gamma I $$\\\n",
"$$ N = S + E + I + R = 1.0 $$\n",
"\n",
"Aquí, las variables de estado de cada modelo son las siguientes:\n",
"\n",
"$S$ Susceptible; Población vulnerable.\n",
"\n",
"$E$ Expuesto; Población expuesta.\n",
"\n",
"$I$ Infectado; Número de población infectada.\n",
"\n",
"$R$ Resistente; Población introvertida.\n",
"\n",
"$N$ Número total de la población.\n",
"\n",
"Los siguientes parámetros dependen del agente infeccioso:\n",
"\n",
"$\\alpha$ Porcentaje de personas expuestas.\n",
"\n",
"$\\beta$ Este parámetro controla con qué frecuencia los contactos susceptibles causan una nueva exposición.\n",
"\n",
"$\\gamma$ La tasa a la cual los pacientes infectados de recuperan y pasan a la etapa de resistencia.\n",
"\n",
"$\\mu$ Mortalidad natural (independiente de la enfermedad) Modela una población de cierto tamaño.\n",
"\n",
"$\\nu$ Tasa de vacunación en poblaciones vulnerables.\n",
"\n",
"\n",
"Para la simulación real, las ecuaciones diferenciales deben analizarse numéricamente y deben establecerse los valores iniciales para cada variable de estado y los parámetros apropiados para el covid-19, dependiendo el modelo que se quiere simular, por ejemplo una ciudad, un país etc.\n",
"\n",
"## Modelo SEIR simplificado\n",
"\n",
"En el modelo SEIR descrito anteriormente, si se establece la tasa de mortalidad natural de $\\mu$ y la tasa de vacuna $\\nu$ a 0 dará en términos generaleas la misma fórmula. Además, expresar todas las ecuaciones como una fracción de la población da como resultado $N = 1$. \n",
"\n",
"$$\\frac{dS}{dt} = - \\beta SI \\tag{1}$$\n",
"\n",
"$$\\frac{dE}{dt} = \\beta SI- \\alpha E \\tag{2}$$\n",
"\n",
"$$\\frac{dI}{dt} = \\alpha E- \\gamma I \\tag{3}$$\n",
"\n",
"$$\\frac{dR}{dt} = \\gamma I \\tag{4}$$\n",
"\n",
"$$ N = S + E + I + R = 1.0 \\tag{5}$$\n",
"\n",
"\n",
"Aquí:\n",
"\n",
"$\\alpha$ Es el inverso del período de incubación ($\\frac{1}{t_ {incubación}}$).\n",
"\n",
"$\\beta$ Es la velocidad de contacto promedio de la población.\n",
"\n",
"$\\gamma$ Es el recíproco de la duración promedio de la infección ($\\frac{1}{t_ {infeccioso}}$).\n",
"\n",
"La ecuación (1) es el cambio en una persona susceptible a la enfermedad, y está regulada por el número de personas infectadas y el contacto con la persona infectada. La ecuación (2) se da a las personas expuestas a la enfermedad, crece con la velocidad de contacto y disminuye con el período de incubación, infectando a las personas. La ecuación (3) muestra el cambio en las personas infectadas según la población expuesta y el período de incubación, disminuye con la duración de la infección, por lo que cuanto mayor sea el $\\gamma$ más rápido morirá o se recuperará la gente y pasará a la etapa final de la ecuación (4). La ecuación final, número (5), es una restricción que indica que el modelo no tiene efecto de nacimiento / migración. Tenemos una población fija de principio a fin.\n",
"\n",
"Entre los parámetros que se requieren se encuentra el $R_0$. Este valor expresa la rapidez con que la enfermedad se propaga por la ecuación:\n",
"\n",
"$$R_0 = \\frac{\\beta}{\\gamma} \\label{eq:R0} \\tag{6} $$\n",
"\n",
"$R_0$ es un término matemático que indica cuán contagiosa es una enfermedad infecciosa. También se conoce como el número de reproducción. A medida que una infección se propaga a nuevas personas, se reproduce a sí misma.\n",
"\n",
"$R_0$ le indica el número promedio de personas que contraerán una enfermedad de una persona contagiosa. Se aplica específicamente a una población de personas que previamente estaban libres de infección y que no han sido vacunadas. Si una enfermedad tiene un $R_0$ de 18, una persona que la tiene la transmitirá a un promedio de otras 18 personas, siempre y cuando nadie haya sido vacunado contra ella o ya sea inmune a ella en su comunidad.\n",
"\n",
"Existen tres posibilidades para la propagación o disminución potencial de una enfermedad, dependiendo de su valor $R_0$:\n",
"\n",
"1 Si $R_0 < 1$, cada infección existente causa menos de una infección nueva. En este caso, la enfermedad disminuirá y finalmente desaparecerá.\n",
"\n",
"2 Si $R_0 = 1$, cada infección existente causa una nueva infección. La enfermedad se mantendrá viva y estable, pero no habrá un brote ni una epidemia.\n",
"\n",
"3 Si $R_0 > 1$, cada infección existente causa más de una infección nueva. La enfermedad se propagará entre las personas y puede haber un brote o epidemia.\n",
"\n",
"## Modelo que refleja la distancia social\n",
"\n",
"La distancia social se considera una actividad social importante para prevenir reuniones a gran escala, contacto físico y la propagación de enfermedades transmisibles. Según el modelo anterior, el parámetro que afectarán estas actividades sociales es la tasa de contacto $\\beta$.\n",
"\n",
"Hubbs (https://towardsdatascience.com/social-distancing-to-slow-the-coronavirus-768292f04296) introdujo un nuevo parámetro $\\rho$ para expresar la distancia social. Suponiendo que $\\rho$ tiene un valor constante entre 0 y 1, si $\\rho = 0$ todos están aislados, y si $\\rho = 1$ no se establece una distancia social.\n",
"\n",
"\n",
"Al aplicar $\\rho$ a las ecuaciones (1) y (2) para el modelo se tiene:\n",
"\n",
"$$ \\frac{dS}{dt} = - \\rho \\beta SI $$\n",
"\n",
"$$ \\frac{dE}{dt} = \\rho \\beta SI- \\alpha E $$\n",
"\n",
"\n",
"## Caso Colombiano\n",
"\n",
"Vamos inicialmente a generar series de tiempo d elos casos de infectados, muertes y recuperados en sur america.\n",
"\n",
"Inicialmete intalamos hana_ml desde donde vamos a actualizar día a día los datos de Covid-19, posteriormente realizamos gráficos de series de tiempo para analizar los contagios, muertes y recuperaciones en tiempo real.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "AQjcMb-psfr0",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 393
},
"outputId": "60f2a9fb-d9e1-4d61-da55-6edae997b732"
},
"source": [
"!python -m pip install hana_ml"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting hana_ml\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/c1/7a/0a4312aab92bc3d0bab2430c3229cf3fd97693170cd4340ccd838962e7db/hana_ml-1.0.8.post11-py3-none-any.whl (421kB)\n",
"\u001b[K |████████████████████████████████| 430kB 2.5MB/s \n",
"\u001b[?25hRequirement already satisfied: numpy>=1.16.4; python_version >= \"3\" in /usr/local/lib/python3.6/dist-packages (from hana_ml) (1.18.2)\n",
"Requirement already satisfied: pydot in /usr/local/lib/python3.6/dist-packages (from hana_ml) (1.3.0)\n",
"Collecting hdbcli>=2.4.167\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/e5/23/108e3426aaab148f4977d321293e7d2df465fda0c4a23ba876419df70730/hdbcli-2.4.182-cp34-abi3-manylinux1_x86_64.whl (22.4MB)\n",
"\u001b[K |████████████████████████████████| 22.4MB 1.4MB/s \n",
"\u001b[?25hRequirement already satisfied: matplotlib; python_version >= \"3\" in /usr/local/lib/python3.6/dist-packages (from hana_ml) (3.2.1)\n",
"Requirement already satisfied: pandas>=0.24.2; python_version >= \"3\" in /usr/local/lib/python3.6/dist-packages (from hana_ml) (0.25.3)\n",
"Collecting Deprecated\n",
" Downloading https://files.pythonhosted.org/packages/f6/89/62912e01f3cede11edcc0abf81298e3439d9c06c8dce644369380ed13f6d/Deprecated-1.2.7-py2.py3-none-any.whl\n",
"Requirement already satisfied: pyparsing>=2.1.4 in /usr/local/lib/python3.6/dist-packages (from pydot->hana_ml) (2.4.6)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.6/dist-packages (from matplotlib; python_version >= \"3\"->hana_ml) (0.10.0)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib; python_version >= \"3\"->hana_ml) (1.1.0)\n",
"Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib; python_version >= \"3\"->hana_ml) (2.8.1)\n",
"Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.24.2; python_version >= \"3\"->hana_ml) (2018.9)\n",
"Requirement already satisfied: wrapt<2,>=1.10 in /usr/local/lib/python3.6/dist-packages (from Deprecated->hana_ml) (1.12.1)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.6/dist-packages (from cycler>=0.10->matplotlib; python_version >= \"3\"->hana_ml) (1.12.0)\n",
"Requirement already satisfied: setuptools in /usr/local/lib/python3.6/dist-packages (from kiwisolver>=1.0.1->matplotlib; python_version >= \"3\"->hana_ml) (46.0.0)\n",
"Installing collected packages: hdbcli, Deprecated, hana-ml\n",
"Successfully installed Deprecated-1.2.7 hana-ml-1.0.8.post11 hdbcli-2.4.182\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NXMJtb-lsfr6",
"colab_type": "code",
"colab": {}
},
"source": [
"import hana_ml, pandas\n",
"\n",
"df_confd = pandas.read_csv('https://raw.githubusercontent.com/CSSEGISandData/COVID-19/master/csse_covid_19_data/csse_covid_19_time_series/time_series_19-covid-Confirmed.csv')\n",
"df_confd.to_csv('time_series_19-covid-Confirmed.csv', index=False)\n",
"df_death = pandas.read_csv('https://raw.githubusercontent.com/CSSEGISandData/COVID-19/master/csse_covid_19_data/csse_covid_19_time_series/time_series_19-covid-Deaths.csv')\n",
"df_death.to_csv('time_series_19-covid-Deaths.csv', index=False)\n",
"df_recvd = pandas.read_csv('https://raw.githubusercontent.com/CSSEGISandData/COVID-19/master/csse_covid_19_data/csse_covid_19_time_series/time_series_19-covid-Recovered.csv')\n",
"df_recvd.to_csv('time_series_19-covid-Recovered.csv', index=False)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "2LUpJqXtsfr-",
"colab_type": "code",
"colab": {}
},
"source": [
"from datetime import datetime \n",
"def date_to_time(d):\n",
" \n",
"\n",
" n=len(d) \n",
" \n",
" date=np.zeros(n)\n",
" for i in range(n):\n",
" date_object = datetime.strptime(d[i], '%m/%d/%y')\n",
" date[i] = datetime.fromisoformat(np.str(date_object)).timestamp()\n",
" \n",
" return (date-date[n-1])/86400. \n",
" \n",
"\n",
" \n",
"def calc_doubling_data(time,cases):\n",
" \n",
" tmp = np.gradient(np.log(1.0*cases+1e-10),time) \n",
" # get the average slope of the past week\n",
" n = len(time)\n",
" ksi = np.mean(tmp[n-8:n-1])\n",
" doubling_time = np.log(2.)/ksi\n",
" print(time)\n",
" return doubling_time\n",
"\n",
"def read_jhu_data(country,mode):\n",
" import csv\n",
" #base='/Users/juvenalyosa/Documents/covid19-master/dat/time_series_19-covid-'\n",
" base='time_series_19-covid-' \n",
" with open(base+mode+'.csv', newline='') as csvfile:\n",
" datareader = csv.reader(csvfile)#, delimiter=',', quotechar='|')\n",
" data = {} \n",
" for row in datareader:\n",
" if (row[0] == 'Province/State'):\n",
" n=len(row)\n",
" dates = row[4:n]\n",
" for i in range(len(dates)):\n",
" data[dates[i]]=0\n",
" else:\n",
" if (row[1]==country):\n",
" for i in range(len(dates)):\n",
" data[dates[i]] += int(float(row[i+4]))\n",
" return data,dates \n",
" \n",
"def datos_paises(name):\n",
"\n",
" dict_confirmed,dates = read_jhu_data(name,'Confirmed')\n",
" dict_recovered,dates = read_jhu_data(name,'Recovered')\n",
" dict_deaths,dates = read_jhu_data(name,'Deaths')\n",
" \n",
" n1=len(dict_confirmed.keys())\n",
" n2=len(dict_recovered.keys())\n",
" if (n1!=n2):\n",
" sys.exit()\n",
" n3=len(dict_deaths.keys()) \n",
" if (n2!=n3):\n",
" sys.exit()\n",
" \n",
" #dates = dict_confirmed.keys()\n",
" confirmed=np.zeros(len(dates))\n",
" recovered=np.zeros(len(dates))\n",
" deaths =np.zeros(len(dates))\n",
" for i in range(len(dates)):\n",
" confirmed[i] = dict_confirmed[dates[i]]\n",
" recovered[i] = dict_recovered[dates[i]]\n",
" deaths[i] = dict_deaths[dates[i]]\n",
"\n",
"\n",
" country = dict([\n",
" ('name',name),\n",
" ('dates', dates),\n",
" ('confirmed', confirmed),\n",
" ('recovered', recovered),\n",
" ('deaths', deaths),\n",
" ]) \n",
" \n",
" return country"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "uGHQPZkFsfsB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "5cf99c0b-153e-46e8-913c-9bd1e4d558e1"
},
"source": [
"import matplotlib.dates as mdates\n",
"from datetime import date\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"fig, (ax1,ax2,ax3) = plt.subplots(3,1,figsize=[16,20])\n",
"\n",
"lat_paises=['Colombia','Peru','Brazil', 'Argentina', 'Uruguay', 'Chile', 'Paraguay','Ecuador','Venezuela','Bolivia']\n",
"\n",
"\n",
"for i in range(len(lat_paises)): \n",
" f = datos_paises(lat_paises[i])\n",
" max_casos_c=str(int(f['confirmed'].max()))\n",
" max_pais=str(f['name'])\n",
" max_pais_c=max_pais + \" \" + max_casos_c\n",
" ax1.plot(f['dates'],f['confirmed'], label=max_pais_c, lw=2, ls='-', marker='o', markersize=7)\n",
" max_casos_m=str(int(f['deaths'].max()))\n",
" max_pais_m=max_pais + \" \" + max_casos_m\n",
" ax2.plot(f['dates'],f['deaths'],label=max_pais_m, lw=2, ls='-', marker='o', markersize=7)\n",
" max_casos_r=str(int(f['recovered'].max()))\n",
" max_pais_r=max_pais + \" \" + max_casos_r\n",
" ax3.plot(f['dates'],f['recovered'],label=max_pais_r, lw=2, ls='-', marker='o', markersize=7)\n",
"\n",
" \n",
"ax1.fmt_xdata = mdates.DateFormatter('%m/%d/%y')\n",
"ax2.fmt_xdata = mdates.DateFormatter('%m/%d/%y')\n",
"ax3.fmt_xdata = mdates.DateFormatter('%m/%d/%y')\n",
"\n",
"ax1.set_yscale(\"log\")\n",
"ax2.set_yscale(\"log\")\n",
"ax3.set_yscale(\"log\")\n",
"\n",
"ax1.legend()\n",
"ax2.legend()\n",
"ax3.legend()\n",
"\n",
"ax1.set_title('Casos Confirmados')\n",
"ax2.set_title('Muertes')\n",
"ax3.set_title('Recuperados')\n",
"\n",
"hoy = date.today()\n",
"hoy = hoy.strftime(\"%m/%d/%y\")\n",
"inicio = \"2/27/20\"\n",
"ax1.set_xlim([inicio,hoy])\n",
"ax2.set_xlim([inicio,hoy])\n",
"ax3.set_xlim([inicio,hoy])\n",
"\n",
"fig.autofmt_xdate()\n",
"\n",
"plt.show()\n",
"\n"
],
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
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Y4uLiePDBB/Hw8ODDDz9k4sSJbNiwgaFDh7J792769etHs2bN6Nu3b6ky3p99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\nN27k5MmTLvv95S9/IScnh08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+fSilCA8P58MPP7zu90wIIYQQoqRCSyGLjiwi/lA8F00X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\nW7duXHvttRw8eJDvvvuOJk2aMHPmzMJ7dO3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cTz75BID58+ezfft2duzYwZkzZ2jfvj03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Jfa5s7LI2f3rmrPUF5BV8RaaxcCCxMTE++paB8Xdm7MZ7NLf77b4TRc2LlxhfqtU6cOzZo1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\nkbk2S672uQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x1440 with 3 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Sd1uZEsysfsE",
"colab_type": "text"
},
"source": [
"#### Como se observa en la gráfica para todos los paises, exceptuando venezuela (esto puede deberse a las limitaciones de realizar pruebas para covid-19), han tenido un crecimiento exponencial, en estos primeros días, y esto puede ser un reflejo de haber cerrado fronteras muy tarde, asi como las medidas de propagación."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IerEqUnUsfsF",
"colab_type": "text"
},
"source": [
"## Comparación con Italia\n",
"\n",
"Observe que en el caso italiano, comparado con colombia (a 25 de Marzo), el crecimiento de contagio es mucho menor que en Colombia, ahora esto puede deberse a varios factores, como por ejemplo la cantidad de pruebas realizadas, el número de personas que se contagian debido a la propagación por un solo idividuo ($R_0$), etc. Supongamos que tanto en Colombia como en Italia, se han realizado las pruebas suficientes y lo que se ve en la gráfica a continuación es un mapa de lo que sucede en la población, esto quiere decir que el $R_0$ para el caso colombiano es mucho mayor que en el caso italiano, o que las personas contagiadas han tenido más contacto con otras personas sanas, en el el caso Colombiano.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "zVldXyJ_sfsG",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"outputId": "2e1bc44c-3e63-48a0-ab64-94df5a4c7b8e"
},
"source": [
"f_col = datos_paises('Colombia') \n",
"f_it = datos_paises('Italy')\n",
"conf_it = f_it['confirmed']\n",
"conf_col = f_col['confirmed']\n",
"array_col = conf_col[np.nonzero(conf_col)]\n",
"dias_col = len(array_col)\n",
"array_it = conf_it[np.nonzero(conf_it)][0:dias_col]\n",
"x = np.linspace(1, dias_col, dias_col, dtype = \"int\")\n",
"\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.axes()\n",
"plt.title(\"Comparación contagios Italia Vs Colombia\")\n",
"plt.xlabel(\"Días desde el primer contagio\")\n",
"plt.ylabel(\"Número de infectados confirmados\")\n",
"ax.plot(x, array_col, '-g', label='Colombia', markersize=7)\n",
"ax.plot(x, array_it, ':b', label='Italia', markersize=7)\n",
"plt.legend();"
],
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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MGzeOlJQUEhMTmTVrFu3atTtp2gsvvJAPP/wQgNWrV7Nx40aaNGmSq+WPGzcOcGcdMTEx\nxMTEnDR8//791K5dG4AxY8bkev2MMaF5a/5bLN2xlJd7vEzZyLJ+pxOSIn2m4BcRYcKECdx///0M\nHz6cqKgoYmNjGTFiBAcPHqRly5aICC+88AI1atRgw4YN6dPec889/PWvf6V58+aULFmS0aNHn3SG\nEIqoqChat25NcnIy77777h+GDx06lOuuu46KFSvSrVs3fvvtt9NdZWNMJjsP7WTId0O4pMElXH32\n1X6nE7JC/Y7muLg4zfw+hRUrVnD22Wf7lFHRYtvSmFN3+8TbeX/p+yz961KaVmnqdzonEZEFqhoX\nbJhdPjLGmDz28+afeXfxuzxw/gMFrkDIiRUKxhiTh1JSUxg4eSC1omsx5KIhfqeTa1anYIwxeeid\nRe+wYNsCPrr6I6JLR/udTq7ZmYIxxuSR3Yd389i3j9H5zM7c0OwGv9M5JVYoGGNMHhny3RD2H93P\na5e/VmhbGs6xUBCR60Qk2useIiLjRaRN+FMzxpjCY+G2hfxnwX8Y2G4gzas39zudUxbKmcI/VTVJ\nRC4AugPvAP8Ob1qFW/ny5QHXJPZHH32U4/gbNmygWbNmAMyfP5/77rsvrPkZY/JWqqZy7+R7qVqu\nKk91ecrvdE5LKIVCivf3CmCUqn4FlApfSkVHqIVCoLi4OEaOLNitKBpjTjZ2yVh+3vwzL3R/gZio\nmJwnKMBCKRS2iMh/gOuBySJSOsTpir1HH32U2bNn06pVK1555RU2bNjAhRdeSJs2bWjTpg0//vjj\nH6aZMWMGvXr1AuCXX36hQ4cOtG7dmo4dO7Jq1ar8XgVjTA72Hd3HI9MeoWPdjvRr2c/vdE5bKAf3\nPwPfAJeq6j6gEvBwWLPKQ126wOjRrjs52cUffODiw4dd7DUVxP79Lh4/3sW7drl40iQXb9+eu2UP\nGzaMCy+8kMWLF/PAAw9QrVo1pk2bxsKFCxk3blyOl4maNm3K7NmzWbRoEU8//TSPP/547hIwxoTd\nk98/ya7Du3j98tfD8nrM/JbjcwqqelhE1gGXisilwGxVnRr+1Iqe5ORkBg4cyOLFi4mIiEhvEjsr\n+/fvp3///qxZswYRITk5OZ8yNcaEYumOpbw+73Xujrub1jVb+51OnsixUBCRwcCdgPf7mQ9EZJSq\nvhbWzPLIjBkZ3ZGRJ8dly54cx8ScHFepcnJco8bp5fLKK69QvXp1lixZQmpqKlFRUdmO/89//pOu\nXbsyYcIENmzYQJcuXU4vAWNMnlFVBk4eSMWoijzb7Vm/08kzoTzRfDvQXlUPAYjIcOAnoFAUCn6K\njo4mKSkpPd6/fz916tShRIkSjBkzhpSUlGymPrmJ69Fp18CMMQXCx8s/ZvbG2YzqNYpKZSr5nU6e\nCeUCmJBxBxJed+F8KiOftWjRgoiICFq2bMkrr7zCPffcw5gxY2jZsiUrV66kXLly2U7/yCOP8Nhj\nj9G6deuTXqJjjPHXgWMHeGjqQ8TViuO21rf5nU6eyrHpbBF5EOgPTPB69QFGq6rvLxu1prPDy7al\nMcE9PPVhXvzpRebeMZd2tdvlPEEBc1pNZ6vqy8AAYI/3GRBKgSAidUXkexFJEJFfvboJRKSSiEwT\nkTXe34pefxGRkSKyVkSW2lPTxpiCaEXiCkbMHcHtrW8vlAVCTrKsUxCRwItkG7xP+jBV3ZPDvE8A\nf1PVhV4zGQtEZBpwK/Ctqg4TkUeBR4G/A5cDjbxPe9xT0+1zu0LGGBMuqsqgKYMoX6o8z1/8vN/p\nhEV2Fc0LAMXVH9QD9nrdFYCNQP3sZqyq24BtXneSiKwAagNXAV280cYAM3CFwlXAWHXXs34WkQoi\nUtObjzHG+O6LFV/w7W/f8vrlr1O1XFW/0wmLLC8fqWp9VW0ATAeuVNUqqloZ6AXk6jkFEYkFWgNz\ngeoBB/rtQHWvuzawKWCyzV6/zPO6S0Tmi8j8xMTErHLPTXomCNuGxpzs0PFDPPjNg7Ss3pK/xP3F\n73TCJpS7j85X1clpgapOATqGugARKQ98AdyvqgcCh3lnBbk6+qjqKFWNU9W4qlX/WFJHRUWxe/du\nO6idBlVl9+7dOT5HYUxx8tzs59h0YBNv9HyDkiWK7vvJQlmzrSIyBPAah+AmYGsoMxeRSFyB8KGq\npj38tiPtspCI1AR2ev23AHUDJq/j9cuVOnXqsHnzZrI6izChiYqKok6dOn6nYUyBsGb3Gl786UX6\ntehHp3qd/E4nrEIpFPoCT5JxS+osr1+2xL1h4h1ghXcHU5p43C2uw7y/EwP6DxSRT3AVzPtPpT4h\nMjKS+vWzre4wxphceezbxygdUZrh3Yf7nUrYhdL20R5g8CnMuxPQD1gmIou9fo/jCoNPReR24Hdc\ng3sAk4GewFrgMO42WGOM8VXSsSQmrZ7EvefdS83omn6nE3ahtH1UFXgEOBdIv8isqt2ym05V55D1\nk88XBxlfgXtzyscYY/LT1HVTOZ5ynD5N+/idSr4IpaL5Q2Al7hbUp3DPK8wLY07GGFNgTFw1kUpl\nKtGxbsj31xRqoRQKlVX1HSBZVWeq6m1AtmcJxhhTFJxIPcFXa76iV+NeRfqOo0ChrGVaI/7bROQK\n3J1HRadJQGOMycIPG39gz5E99G7c2+9U8k0ohcKzIhID/A3XXPYZwANhzcoYYwqA+FXxlIooRY+G\nPfxOJd+EcvfR/7zO/UDX8KZjjDEFg6oycdVELq5/MdGlo/1OJ9+EcvdRfWAQEBs4vqoWn/MpY0yx\ns2LXCtbtXcdDHR/yO5V8Fcrloy9xD6FNAlLDm44xxhQM8aviAbiy8ZU+Z5K/QikUjqrqyLBnYowx\nBcjEVROJqxVH7TP+0C5nkRbKLamvisiTItJBRNqkfcKemTHG+GT7we3M3TyXq5pc5Xcq+S6UM4Xm\nuOYqupFx+UixZxWMMUXU/1b/D0Xp3aT4VZ2GUihcBzRQ1ePhTsYYYwqC+FXxnBlzJs2rNfc7lXwX\nyuWj5bi3rRljTJF36Pghpq2fxlVNrsI19ly8hHKmUAFYKSLzgGNpPe2WVGNMUTR9/XSOnjhaLC8d\nQWiFwpNhz8IYYwqI+FXxxJSO4aIzL/I7FV9kWyiISATwH1Vtmk/5GGOMb1JSU5i0ehI9G/UkMiLS\n73R8kW2dgqqmAKtEpF4+5WOMMb6Zu2UuiYcTi+2lIwjt8lFF4FcR+QU4lNbT6hSMMUXNxJUTKVmi\nJJefdbnfqfgmlELhn2HPwhhjCoD41fF0ie1CTFSM36n4JpRWUmfmRyLGGOOn1btXs3LXSu49r3i/\nFTjLQkFE5qjqBSKShHuCOX0Q7pXKZ4Q9O2OMySfFtQG8zLI7U7gFQFWLT0PixphiK35VPK1qtOLM\nCmf6nYqvsrv76DMAEfk2n3Ixxhhf7Dq8ix82/VCsXruZlezOFEqIyONAYxF5MPNAVX05fGkZY0z+\n+Wr1V6RqarG+FTVNdmcKNwApuIIjOsjHGGOKhImrJlI7ujZtatpbAbI8U1DVVcBwEVmqqlPyMSdj\njMk3R08c5Zt139C/Zf9i2QBeZqE8p/CdiNzIH9/R/HS4kjLGmPzy7fpvOZx8uFi+UCeYUAqFicB+\nYAEBraQaY0xREL8qnvKlytMltovfqRQIoRQKdVT1srBnYowx+SxVU5m0ehKXnXUZpUuW9judAiGU\nl+z8KCLF7/VDxpgib/7W+Ww7uM0uHQUI5UzhAuBWEfkNd/ko7YnmFmHNzBhjwix+VTwREkHPRj39\nTqXACKVQKL7NBRpjirSJqyZy4ZkXUqlMJb9TKTByvHykqr/jXsl5pfep4PUzxphCa/3e9Szfudye\nYs4kx0JBRAYDHwLVvM8HIjIo3IkZY0w4pTWAZ08xnyyUy0e3A+1V9RCAiAwHfgJeC2dixhgTTvGr\n4jm36rk0rNTQ71QKlFDuPhJccxdpUrx+2U8k8q6I7BSR5QH9horIFhFZ7H16Bgx7TETWisgqEbk0\nNythjDG5sffIXmb9PsvOEoII5UzhPWCuiEzw4j7AOyFMNxp4HRibqf8rqvpiYA8ROQfX1tK5QC1g\nuog09t4RbYwxeWrymsmkaIrdihpEKBXNLwMDgD3eZ4Cqjghhulne+KG4CvhEVY+p6m/AWqBdiNMa\nY0yuxK+Op0b5GpxX+zy/UylwQqloPh9Yo6ojVXUksE5E2p/GMgeKyFLv8lJFr19tYFPAOJu9fsHy\nuUtE5ovI/MTExNNIwxhTHB07cYwpa6ZwZeMrKSGhXEEvXkLZIv8GDgbEB71+p+LfQEOgFbANeCm3\nM1DVUaoap6pxVatWPcU0jDHF1czfZ5J0PMnqE7IQUkWzqqa/o1lVUwmtLuIPVHWHqqZ48/gvGZeI\ntgB1A0at4/Uzxpg8NXHlRMpGluXi+hf7nUqBFEqhsF5E7hORSO8zGFh/KgsTkZoB4Z+AtDuT4oEb\nRKS0iNQHGgG/nMoyjDEmK6pK/Op4ejTsQZnIMn6nUyCFUijcDXTE/XLfDLQH7sppIhH5GPc8QxMR\n2SwitwMviMgyEVkKdAUeAFDVX4FPgQTga+Beu/PIGJPXFm9fzOYDm+0p5mzkeBlIVXfibhfNFVXt\nG6R3lreyqur/Af+X2+UYY0yoJq6aiCD0atzL71QKLKt6N8YUG/Gr4ulYtyNVy9lNKlmxQsEYUyxs\n3L+RRdsX2QNrObBCwRhTLExaNQmwBvByElIrqSJyhjjviMhCEemRH8kZY0xembhqIo0rN6ZJlSZ+\np1KghXKmcJuqHgB6ABWBfsCwsGZljDF5aP/R/czYMMMuHYUg1FZSAXoC73u3j+bYSqoxxhQUX6/9\nmuTUZLt0FIJQCoUFIjIVVyh8IyLRQGp40zLGmLwTvzqeKmWr0KFOB79TKfBCfclOK2C9qh4Wkcq4\nVlONMabAS05JZvKayfRp2oeIEhF+p1PghfLwWqqI1AFuFBGAmao6KeyZGWNMHpi9cTb7ju6zp5hD\nFMrdR8OAwbgmKBKA+0TkuXAnZowxeSF+VTylI0rTo6HdNBmKUC4f9QRaeS2bIiJjgEXA4+FMzBhj\nTpeqMnHVRLo36E65UuX8TqdQCPXhtQoB3THhSMQYY/La8p3L2bBvg92KmguhnCk8DywSke9xt6Je\nBDwa1qyMMSYPTFw1EcAawMuFUCqaPxaRGUDay0z/rqrbw5qVMcacpjW71/Dijy/SJbYLNaNr5jyB\nAbIpFESkTaZem72/tUSklqouDF9axhhz6pKOJdFnXB9KlijJe1e953c6hUp2Zwpp70+OAuKAJbjL\nRy2A+YA9BWKMKXBSNZX+X/Zn1a5VTO03ldgKsX6nVKhkWdGsql1VtSuwDWijqnGq2hZojb0/2RhT\nQD03+zkmrJzAvy75F93qd/M7nUInlLuPmqjqsrRAVZcDZ4cvJWOMOTVfrf6KJ75/gpua38T959/v\ndzqFUih3Hy0VkbeBD7z4JmBp+FIyxpjcW7VrFTeOv5FWNVox6spReC0wmFwKpVAYAPwV91QzwCzg\n32HLyBhjcunAsQP0GdeHUhGlmHD9BMpGlvU7pUIrlFtSjwKveB9jjClQUjWVWybcwprda5jWbxpn\nVjjT75QKtRwLBRFphHuA7RzcnUgAqGqDMOZljDEheXbWs0xcNZERl46ga/2ufqdT6IVS0fwe7nLR\nCaArMJaM+gVjjPHNpFWTeHLGk9zS8hbua3+f3+kUCaEUCmVU9VtAVPV3VR0KXBHetIwxJnurdq3i\n5gk307ZmW9664i2rWM4joVQ0HxOREsAaERmIe0ahfHjTMsaYrKVVLJeOKM3468dTJrKM3ykVGaGc\nKQwGygL3AW2Bm4FbwpmUMcZkJVVT6TehH2t2r+HT6z6lXkw9v1MqUkIpFGJV9aCqblbVAap6DWB7\nwRjji2dmPkP8qnhevvRlusR28TudIieUQuGxEPsZY0xYxa+KZ+jModzS8hYGtRvkdzpFUnatpF6O\ne+tabREZGTDoDNydSMYYk29W7lrJzeOtYjncsqto3oprDbU3sCCgfxLwQDiTMsaYQPuP7ueqT64i\nqmQUE66fYBXLYZRloaCqS4AlIjIBOKSqKQAiEgGUzqf8jDHFXKqmcvOEm1m/dz3T+02nbkxdv1Mq\n0kKpU5gKBBbLZYDp4UnHGGNO9tSMp/jf6v/xco+X6Rzb2e90irxQCoUoVT2YFnjd1tqUMSbsvlz5\nJU/Pepr+LfszsN1Av9MpFvFQagQAACAASURBVEIpFA4FvppTRNoCR8KXkjHGwIrEFfSb0I/zap3H\nW72sYjm/hFIo3A98JiKzRWQOMA7IscgWkXdFZKeILA/oV0lEponIGu9vRa+/iMhIEVkrIkuDvB/a\nGFOM7D+6nz7j+lA2sizjrx9PVMmonCcyeSLHQkFV5wFNce9UuBs4W1UXZD8VAKOByzL1exT4VlUb\nAd96McDlQCPvcxf2vgZjiqWdh3byzMxnOPuNs1m/dz2fX/c5dc6o43daxUqOhYKIlAX+Dgz2XsUZ\nKyK9cppOVWcBezL1vgoY43WPAfoE9B+rzs9ABRGpGeI6GGMKuYXbFnLrl7dS95W6PDHjCVrWaMn0\nftO58MwL/U6t2AmlQbz3cM8pdPDiLcBnwP9OYXnVVXWb170dqO511wY2BYy32eu3jUxE5C7c2QT1\n6llrG8YUVidST/Dlyi95de6rzNk4h3KR5bij9R0Maj+IplWa+p1esRVKodBQVa8Xkb4AqnpY8qDG\nR1VVRPQUphsFjAKIi4vL9fTGGH/tObKH/y74L2/Me4NNBzZRv0J9XurxEre1vo0KURX8Tq/YC6VQ\nOC4iZQAFEJGGwLFTXN4OEampqtu8y0M7vf5bgMAnUup4/YwxRcTyncsZOXckHyz9gCMnjtA1tiuv\nXf4avRr3IqJEhN/pGU8ohcKTwNdAXRH5EOgE3HqKy4sH+gPDvL8TA/oPFJFPgPbA/oDLTMaYQiol\nNYWv1nzFq3Nf5bvfviOqZBQ3N7+Z+9rfR/Pqzf1OzwSRXYN4nVT1B2AWcDVwPiC4CuddOc1YRD4G\nugBVRGQzrnAZBnwqIrcDvwN/9kafjGt8by1wGBhwqitkjPHf/qP7eW/xe7z2y2us37ueOmfU4fmL\nn+fONndSuWxlv9Mz2RDV4JflRWSBqrYVkYWqWiCfG4iLi9P58+f7nYYxxpN2S+noJaM5ePwgnep2\nYnD7wfRp2ofIiEi/0zMe7/geF2xYdpePkkVkFFAnU9PZAKiqvSXbGJMuOSWZPp/0Yf7W+fRt3pf7\n2t1H21pt/U7L5FJ2hUIvoDtwKSc3nW2MMX8w5Lsh/LT5Jz6+5mNuaHaD3+mYU5Rd09m7gE9EZIXX\njLYxxgQ1Zc0UXvjxBe5qc5cVCIVcKHcfbRWRx4HYwPFV9bZwJWWMKTy2HNjCLV/eQvNqzRlx2Qi/\n0zGnKZRCYSIwG/cOhZTwpmOMKUxOpJ6g7xd9OZJ8hE+v+9TeiFYEhFIolFXVv4c9E2NMofP0zKeZ\nvXE2Y/uMtaYpiohQms7+n4j0DHsmxphCZfr66Tw761lubXUr/Vr28zsdk0dCKRQG4wqGIyJyQESS\nRORAuBMzxhRc2w9u5+bxN9O0SlNev/x1v9MxeSjHy0eqGp0fiRhjCoeU1BRuHn8zB44dYPot0ylX\nqpzfKZk8lF0zF01VdWVWb0FT1YXhS8sYU1A9P+d5vv3tW96+8m2aVWvmdzomj2V3pvAg7r0FLwUZ\npkC3sGRkjCmwZm6YyZMznuTG5jdyW2u7K70oyu7htbu8v13zLx1jTEGVeCiRG8ffSMOKDXnrirfI\ng9eqmAIolFtSjTHFXKqm0v/L/uw+vJuv7viK6NJW1VhUWaFgjMnRiz++yJS1U3ij5xu0qtHK73RM\nGIVyS6oxphj7cdOPPP7t41x7zrX8Ne6vfqdjwizHQkGcm0XkCS+uJyLtwp+aMcZve47soe8XfakX\nU4+3r3zb6hGKgVDOFN4EOgB9vTgJeCNsGRljCgRVZcDEAWxL2sa4a8cRExXjd0omH4RSp9BeVduI\nyCIAVd0rIqXCnJcxxmevzn2V+FXxvHLpK5xX+zy/0zH5JJQzhWQRicA9m4CIVAVSw5qVMcZX87bM\n45Fpj9C7SW8Gtx/sdzomH4VSKIwEJgDVROT/gDnAc2HNyhjjm/1H93P959dTM7om7131ntUjFDOh\ntH30oYgsAC4GBOijqivCnpkxJt+pKndMuoON+zcye8BsKpWp5HdKJp9l1/ZR4LdhJ/Bx4DBV3RPO\nxIwx+e+t+W/xecLnDO8+nA51O/idjvFBdmcKC3D1CALUA/Z63RWAjUD9sGdnjMk3i7cv5oFvHuDy\nsy7noY4P+Z2O8UmWdQqqWl9VG+Bew3mlqlZR1cpAL2BqfiVojAm/vUf28ufP/kzlspUZ02cMJcSe\nay2uQtnz56vq5LRAVacAHcOXkjEmvxxOPswLP7xAw5ENWb93PR9f8zFVy1X1Oy3jo1CeU9gqIkOA\nD7z4JmBr+FIyxoRbckoy7y56l6dnPc3WpK1cdtZlPNftOVrXbO13asZnoRQKfYEncbelKjCLjKeb\njTGFSKqmMm75OJ6Y8QRr96ylY92OfHzNx1x05kV+p2YKiFBuSd2De0+zMaaQUlWmrJ3C498+zpId\nS2hRvQWT+k7iikZX2HMI5iTWdLYxRdycjXN47NvHmLNxDg0qNuDDqz/khmY3WGWyCcoKBWOKqMXb\nF/OP7/7B5DWTqVG+Bm/2fJPb29xOqQhrusxkzQoFY4qYtXvW8sT3T/Dx8o+pEFWBYRcPY1D7QZSN\nLOt3aqYQyLFQEJE6wGvABbiK5tnAYFXdHObcjDG5sDVpK0/PfJp3Fr1DqYhSPH7B4zzc6WEqRFXw\nOzVTiIRypvAe8BFwnRff7PW7JFxJGWNCt+fIHobNGcZrv7xGSmoKf2n7F4ZcNIQa5Wv4nZophEIp\nFKqq6nsB8WgRuT9cCRljQjdlzRT6ftGXA8cOcHOLm3mqy1PUr2gt0JhTF0qhsFtEbiajQby+wO7T\nWaiIbMC9wS0FOKGqcV4DfOOAWGAD8GdV3Xs6yzGmKJuwYgLXf349zao1Y+yfxtKsWjO/UzJFQCj3\npN0G/BnYDmwDrgUG5MGyu6pqK1WN8+JHgW9VtRHwrRcbY4L4aNlHXPfZdcTViuO7/t9ZgWDyTLZn\nCt4b155T1d75kMtVQBevewwwA/h7PizXmELlnYXvcOekO+kc25lJfSdRvlR5v1MyRUi2ZwqqmgKc\nGYZ3MiswVUQWiMhdXr/qqrrN694OVA82oYjcJSLzRWR+YmJiHqdlTMH2+i+vc8ekO+jRsAdf3fiV\nFQgmz4VSp7Ae+EFE4oFDaT1V9eXTWO4FqrpFRKoB00RkZeBAVVUR0WATquooYBRAXFxc0HGMKYpe\n+OEF/j797/Rp2odPrvmE0iVL+52SKYJCKRTWeZ8SQHReLFRVt3h/d4rIBKAdsENEaqrqNhGpiXvb\nmzHFnqry1MyneGrmU9zQ7AbG9hlLZESk32mZIiqUBvGeAhCRsqp6+HQXKCLlgBKqmuR19wCeBuKB\n/sAw7+/E012WMYWdqvLItEd48acXGdBqAP+98r9ElIjwOy1ThOV495GIdBCRBGClF7cUkTdPY5nV\ngTkisgT4BfhKVb/GFQaXiMgaoLsXG1NspWoqAycP5MWfXuTe8+7l7d5vW4Fgwi6Uy0cjgEtxv+RR\n1SUicsqNr6vqeqBlkP67gYtPdb7GFCUpqSncOelO3lv8Hg93fJjh3YdbE9cmX4TUIJ6qbsr0hUwJ\nTzrGmOSUZG758hY+Wf4JT3Z+kic7P2kFgsk3oRQKm0SkI6AiEol74c6K8KZlTPF07MQxbvjiBr5c\n+SXDuw/nkU6P+J2SKWZCKRTuBl4FagNbgKnAveFMypji6HDyYa759Bq+Xvs1r13+GgPbDfQ7JVMM\nhXL30S7gpnzIxZhiK+lYEr0/6c3MDTN5+8q3ub3N7X6nZIqpUN6nUB8YhGuoLn38fGr6wpgib9/R\nffT8sCe/bPmFD67+gBub3+h3SqYYC+Xy0ZfAO8AkIDW86RhTvOw6vItLP7iUZTuW8dl1n/Gns//k\nd0qmmAulUDiqqiPDnokxxcz2g9vpPrY76/auY+INE7m80eV+p2RMSIXCqyLyJK6C+VhaT1VdGLas\njCni5m6eS78J/diatJWvbvyKbvW7+Z2SMUBohUJzoB/QjYzLR+rFxphc2HJgC49++ygfLP2AGuVr\n8M3N39CpXie/0zImXSiFwnVAA1U9Hu5kjCmqjiQf4aWfXuL5Oc+TkprCYxc8xmMXPEZ06TxpY9KY\nPBNKobAcqIC1WmpMrqkqX6z4goemPsTv+3/n6rOv5l+X/IsGFRv4nZoxQYVSKFQAVorIPE6uU7Bb\nUo3JxuLtixn89WBm/T6LFtVb8N1V39G1fle/0zImW6EUCk+GPQtjipCdh3Yy5LshvL3wbSqVqcRb\nV7zFHW3usBZOTaEQyhPNM/MjEWMKu+Mpx3lt7ms8PetpDicfZnD7wTzR+Qkqlqnod2rGhCxooRD4\nQh0RScLdbQRQCogEDqnqGfmTojEFm6ry1ZqvePCbB1mzZw09G/XkpR4v0bRKU79TMybXsjpTuFVE\nKqnqs6qafnuEuPZ7rwLOz5fsjCngEhITeOCbB5i6bipNKjfhqxu/omejnn6nZcwpC/rmNVV9E/hN\nRPpl6q+q+iXupTvGFFt7juzhvin30eLfLZi7eS6vXPoKy/66zAoEU+hlWaegqh8CiMjVAb1LAHHA\n0TDnZUyBdCT5CO8seocnZzzJvqP7uKvNXTzd9Wmqlqvqd2rG5IlQ7j66MqD7BLABdwnJmGJj84HN\nvDnvTUYtGMXuI7vpGtuVEZeNoEX1Fn6nZkyeCuXuowH5kYgxBY2q8uOmHxn5y0i+SPgCRbmqyVUM\nbj+Yi868yF6RaYqkLAsFEXkim+lUVZ8JQz7G+O7YiWN8+uunvDr3VRZsW0CFqAo8cP4D3NvuXmIr\nxPqdnjFhld2ZwqEg/coBtwOVASsUTJGy/eB23pr/Fm/Nf4sdh3ZwdpWz+fcV/6Zfi36UK1XO7/SM\nyRfZVTS/lNYtItHAYGAA8AnwUlbTGVPYzN86n1fnvsq45eNITk3mikZXMLj9YLo36G6XiEyxk22d\ngohUAh7EvaN5DNBGVffmR2LGhFNySjLjV4zn1bmv8tPmnyhfqjx3x93NoHaDaFS5kd/pGeOb7OoU\n/gVcDYwCmqvqwXzLypgw2XV4F6MWjOLNeW+yJWkLDSs2ZMSlIxjQegBnlLaH9I3J7kzhb7hWUYcA\n/wg4jRZcRbP9B5kCL+lYEkt2LGHRtkX8vOVnxq8Yz9ETR+neoDtv9XqLno16UkKCPsNpTLGUXZ2C\n/aeYQiXxUCKLti9i0bZF7u/2RazZvQb1mu6qWrYq/Vv2577293FO1XN8ztaYgimUh9eMKVBUlY37\nN7Jw28L0g/+ibYvYkrQlfZwzY86kTc023Nz8ZlrXbE3rGq2pFV3LKo6NyYEVCiZsNu3fxLaD2057\nPqmayro9604qAPYedfc7lJASNK3SlC6xXWhdozWta7amVY1WVCpT6bSXa0xxZIWCyTPHU47zw8Yf\nmLJ2CpPXTObXxF/zdP6lI0rTvHpzrj3n2vQCoEX1FpSNLJunyzGmOLNCwZyWLQe28PXar5m8djLT\n1k0j6XgSkSUi6Rzbmdta30aTyk3y5JJN3TPq0rRKUyIjIvMga2NMVqxQMLlyIvUEP236Kf1sYMmO\nJYA7aPdt1peejXrSrX43oktH5zAnY0xBZIWCydH2g9v5eu3XTFk7hanrprLv6D5KlihJp7qdGN59\nOD0b9eTcqudaJa4xRYAVCuYPklOSmb91fvrZwIJtCwCoWb4mVze9mp6NetK9QXdiomJ8zjR06r1Q\nVgSOH4djx6BcOShRIiMuX/7k4WnxsWOuX+Y42jsZyhwfPQrJySfHJ0646YPFR45ASkr2cWqqyxfg\n8GG3PtnFAGW9qpZDh1ze2cUlSkCZMi4+eBAiIrKPS5aEqCgXJyVBZGT2calSULq0y/PgwZzj0qVd\nv9RUl19OcVSUW2bmOCXFbY/McZkybh0yxydOuO2dOS5b1m2DzHFystufmeO071bmOK+/e2GhqgXq\nA1wGrALWAo9mN27btm31VG3cqLp0aUb8+++qy5ZlxL/9prp8eUa8fr3qr79mxOvWqSYkZMRr16qu\nXJkRr1mjumpVRrxqlerq1RnxypVunDQrVrh5pklIcMtM8+uvLqc0y5apbtiQES9d6tYhzZIlqps2\nZcSLF6uuWn9QV+9arbM2zNJhn32jT8X/Vx+d9qjeMr6/dnjmHj17WDet+kJV5YkSyl9aqTxcQzu9\n00mf+f45/XjqSt2+PVVVVY8fV124UHXnTjfvY8dcnJjo4qNHXbx7t4uPHHHxnj0uPnzYxXv3uvjg\nQRfv2+fipCQX79/v4gMHVH/4ISPesEH19ddVd+xw8fz5qrfdprp5s4unTFFt3drtY1XV995TFcnY\nHm+9pQqqW7e6eORIF+/a5eJ//cvFSUku/r//c/GxYy5+4gkXp3n0UdVSpTLiBx9ULV8+I773XtXK\nlTPiO+9UrVkzI77lFtXY2Iz4hhtUGzfOiK++WrVZs4z4iitUA7/6l1yi2qFDRnzRRapdumTE55+v\n2qNHRtymjWqvXhnxueeqXnNNRtyokWrfvhlxvXqqt96aEdeooXrXXRlxpUqqAwdmxOXKqf7tbxlx\nZKTqY4+57tRUt+2GDnXx0aMufu45Fx844OIXX3RxYqKLX3vNxVu2uPg//3Hx+vUuHj3axStXuvij\nj1y8dKmLP//cxfPmuXjSJBf/8IOLv/nGxd995+IZM1z89dcu/vFHF8fHu3j+fBd/9pmL044dH37o\n4rT//XffdXHa/2pef/dOFTBfsziuRgwdOjSMRU7uiEgE8DXudZ/PAyOfeuqpWUOHDk0MNv6oUaOG\n3nXXXblezqb9m7hjcCJPDSnHWb0mkJCYwD8fK8Pzz0TRoOeXJCQm8PhD5XjpxZLEXjqRhMQEHhkc\nzWuvCfW6x5OQmMCD91Rg1KhUanebREJiAvfdWYn3xiRTs/P/SEhM4N4BVfjgk6NUv/ArEhITuLtf\nNT798hBVO04mITGBO26owYQpB6jcfgoJiQncek0tJn+/h4px35CQmMDNvesw7cdEYtpMJSExgb49\n6zFzwXaiW04jITGB6y6pz0/LN1Ou+XQSEhP4U5eGzF/zO6mN4vl67dfc1K0NE5ZO4/Pjt/PcnOd4\n7trbeX3um7y2uzfvLX6P6YPeZcamqfxc6jl2HtxFwmPTqVyhJJddXJZLY3sz+4GP+Odl9/D+/X+h\nZcULOe/cKtSqJXToAHv2wFlnwZlnQrt2sH07NGkCjRpB27awcSOce677tGwJa9dCixbQqhU0awYJ\nCdC6NbRvD2efDUuWQFwcXHABNG4M8+a5Yd26QcOG8MMP0LkzXH65W+bPP8NNN8E110CdOrB0Kbzy\nClx7LVSrBlu3wrJl0LMnxMS4X5/Vq8OFF7pfgJGRLv+OHd2vzVKlXO4dO7phkZFufTp2dL/+SpWC\npk1dXKKE+5V6zjkuBhefey6cf35G3KyZW4e0uHlzt63S4hYt3DqD+xXbsqXbdmlx69buAy7nNm3c\n9kuL27Z180iL4+LcMsD9aj3vPJdTWtyuncs5LU7b9mnx+ee7dQb3K7ZDB7cv0uJOndw2A/er9YIL\n3L4JjBs0yIgvughiYzPizp3dvgP3K7dzZ6hb18UxMS6uU8f9Gq5QwcW1arm4YkUX16zp4sqVXVy9\nutsfVaq45VWr5uJq1VxcpYqL0/Z95courlnTxZUqubhWLRdXqOD2d506bn1iYtzZQt26Lo6OdnG9\nei4uX97FsbEuLlvWxfXru+2V9l1r2NDFpUvn/XfvVD311FPbhg4dOirYMNG08+oCQEQ6AENV9VIv\nfgxAVZ8PNn5cXJzOnz8/18v57NfP+PPrz0BSbWj0teu5rSUcqg5nTXXx1tZwpDI0nO7iLW3hWAw0\n+M7Fm9tBclmoP8PFm9pDSmmIneXijR1AI+DMOS7+vROIQr0fXbzhQohIhro/u/i3zhB5BOr84uL1\nXaF0EtT21m/dxVBmL9Ra6OK1l0C5RKi52MVrLoXobVBjKQBlfruGarWOEds4iZrRNTm8vBsNG5Sg\nVYtIapavyYofGtH23Bg6tIlBKEF8vPvyNWniTqn/9z930Gjc2J0CT57sDnQNG7pT2K+/dgehBg3c\n6fTUqe7AFhvrTt+nT3cHtXr13OWD775zB7I6dWD/fpgxwx2oataEvXth1ix3oKpRA3bvhjlz3IGp\nWjVITISFC934FSu60/GkJNdd0i6AGpNrIrJAVeOCDitghcK1wGWqeocX9wPaq+rAgHHuAu4CqFev\nXtvff/8918vZf3Q/mw9szpukC5ioklHUjK5p9+4bY7KUXaFQ6H5nqeooXMutxMXFnVKJFhMVU6gq\nSY0xJr8UtEbvtgB1A+I6Xj9jjDH5oKAVCvOARiJSX0RKATcA8T7nZIwxxUaBunykqidEZCDwDRAB\nvKuqeduAjjHGmCwVqEIBQFUnA5P9zsMYY4qjgnb5yBhjjI+sUDDGGJPOCgVjjDHpCtTDa7klIolA\n7p9ey39VgF1+J5FLlnP+KGw5F7Z8wXIO5kxVrRpsQKEuFAoLEZmf1dODBZXlnD8KW86FLV+wnHPL\nLh8ZY4xJZ4WCMcaYdFYo5I+gTdQWcJZz/ihsORe2fMFyzhWrUzDGGJPOzhSMMcaks0LBGGNMOisU\n8oiI1BWR70UkQUR+FZHBQcbpIiL7RWSx93nCj1wz5bRBRJZ5+fzhNXbijBSRtSKyVETa+JFnQD5N\nArbfYhE5ICL3ZxrH9+0sIu+KyE4RWR7Qr5KITBORNd7fillM298bZ42I9Pcx33+JyEpvv08QkQpZ\nTJvtdyifcx4qIlsC9n3PLKa9TERWed/rR33OeVxAvhtEZHEW0+bPds7q5c32yd0HqAm08bqjgdXA\nOZnG6QL8z+9cM+W0AaiSzfCewBRAgPOBuX7nHJBbBLAd9yBOgdrOwEVAG2B5QL8XgEe97keB4UGm\nqwSs9/5W9Lor+pRvD6Ck1z08WL6hfIfyOeehwEMhfG/WAQ2AUsCSzP+r+ZlzpuEvAU/4uZ3tTCGP\nqOo2VV3odScBK4Da/maVJ64CxqrzM1BBRGr6nZTnYmCdqha4p9pVdRawJ1Pvq4AxXvcYoE+QSS8F\npqnqHlXdC0wDLgtbop5g+arqVFU94YU/4156VWBksY1D0Q5Yq6rrVfU48Alu34RddjmLiAB/Bj7O\nj1yyYoVCGIhILNAamBtkcAcRWSIiU0Tk3HxNLDgFporIAu/915nVBjYFxJspOIXdDWT9D1TQtjNA\ndVXd5nVvB6oHGaegbu/bcGeMweT0HcpvA71LXu9mcYmuoG7jC4Edqromi+H5sp2tUMhjIlIe+AK4\nX1UPZBq8EHepoyXwGvBlfucXxAWq2ga4HLhXRC7yO6FQeG/m6w18FmRwQdzOJ1F3PaBQ3A8uIv8A\nTgAfZjFKQfoO/RtoCLQCtuEuxxQWfcn+LCFftrMVCnlIRCJxBcKHqjo+83BVPaCqB73uyUCkiFTJ\n5zQz57TF+7sTmIA7tQ5UUN+bfTmwUFV3ZB5QELezZ0fapTfv784g4xSo7S0itwK9gJu8guwPQvgO\n5RtV3aGqKaqaCvw3i1wK1DYGEJGSwNXAuKzGya/tbIVCHvGuB74DrFDVl7MYp4Y3HiLSDrf9d+df\nln/Ip5yIRKd14yoWl2caLR64xbsL6Xxgf8AlED9l+auqoG3nAPFA2t1E/YGJQcb5BughIhW9Sx89\nvH75TkQuAx4Beqvq4SzGCeU7lG8y1Xf9KYtcCuK74LsDK1V1c7CB+bqd86PGvTh8gAtwlwOWAou9\nT0/gbuBub5yBwK+4ux1+Bjr6nHMDL5clXl7/8PoH5izAG7i7NZYBcQVgW5fDHeRjAvoVqO2MK7C2\nAcm4a9a3A5WBb4E1wHSgkjduHPB2wLS3AWu9zwAf812Lu/ae9n1+yxu3FjA5u++Qjzm/731Pl+IO\n9DUz5+zFPXF3CK7zO2ev/+i072/AuL5sZ2vmwhhjTDq7fGSMMSadFQrGGGPSWaFgjDEmnRUKxhhj\n0lmhYPKciMSKyI1+52GMyT0rFEyuiUiK11Ljr15TEn8TkRLesAjcLawL8nB5t4rI63kwn9Eicm1B\nyEdEfjzdPPKLiLTKqrXRXMxjclatrJqCpaTfCZhC6YiqtgIQkWrAR8AZwJPAWbjWNFf5mF+BJSIl\nVfWEqnYM17zzer64JiPigMmnOgNVPa1CxeQfO1Mwp0XdI/d34RohE1wT4o+Ae5pYRH4SkUUi8qOI\nNPH6nysiv3hnG0tFpFHm+YrIABFZLSK/AJ0C+lcVkS9EZJ736eT17xzQJv0iEYn2nsJ+XVy7+dOB\nagHzaSsiM73Gxb4J1vJrVsvKiri2/N/31nmNiNzp9e8iIrNFJB5I8PodDBg2U0Qmish6ERkmIjd5\n22eZiDTMYb3TlvkD7sGtzDn93ZvPEhEZ5vVrJSI/S8Z7Eip6/WeIyHBv2atF5ELvid+ngeu9bXt9\nNvu1rIh8Ku6dIhNEZK6IxHnDNojX1IiIPCgiy73P/ZlzNj7Lryf57FN0PsDBIP324Vr97IL3LgPc\n2UNae/zdgS+87tdwbemAa8++TKZ51QQ2AlW94T8Ar3vDPsI1DAZQD9esCMAkoJPXXR53Fnw1runp\nCNzTofuAa4FI4Eegqjf+9cC7QdYpq2XdmpZPpvGH4p44LQNUwT0NXMvbJoeA+pm3oTdsn7fOpXFt\n8DzlDRsMjMghl6G4S3VlguRzubeeZb047QnqpUBnr/vpgGXMAF7yunsC04Otbzb79SHgP153M1wj\nenFevMHbJm1xTxyX8/bTr0Brv7/T9sn42OUjE04xwBjvTEBxB2OAn4B/iEgdYLz+sang9sAMVU0E\n92YqoLE3rDtwjjspAeAMcS3T/gC8LCIfevPcLK4VyY9VNQXYKiLfedM0wR20pnnzicA1PZBZVsvK\nzkRVPQIcEZHvcY2W7QN+UdXfsphmnnrtSYnIOmCq138Z0DWEXOK9ZQbL/z312i1S1T0iEgNUUNWZ\n3jhjOLml2bSGHBcAmYPHJgAAAoNJREFUsVnkm9V+vQB41VvWchFZGmTaC4AJqnrIW9/xuCajF2Wx\nLJPPrFAwp01EGgApuFY/zw4Y9Azwvar+Sdw7JmYAqOpHIjIXuAKYLCJ/UdXvCE0J4HxVPZqp/zAR\n+Qr3C/cHEbk0u5SBX1W1w6ksK+DAHEzmdmPS4kPZTHMsoDs1IE4l4380u1yym3dupS07hayPD0H3\nqykarE7BnBYRqQq8hbu8kPmAGENGk8S3BkzTAFivqiNxLYW2yDTdXKCziFQW1xz5dQHDpgKDAuaV\nVuHdUFWXqepwXCuYTYFZuGvhEV6dQdqv7lVAVRHp4E0bKcFfxBN0WTm4SkSiRKQy7tLQvBCmCcWp\n5DINGCAiZb1pKqnqfmCviFzojdMPmJnVDDxJuFfMpgm6X3Fna3/2lnUO0DzIvGYDfbz6h3K4lkxn\nh7AuJp9YoWBORRmv0vFXXGufU4Gngoz3AvC8iCzi5F+dfwaWi3tBeTNgbOBE3qWUobjLTD/gXm2a\n5j4gzqskTcC1jgpwv1dxuRTXAuX/t3eHOg0EQRzGvxEYXqS2D0OCrK/mAUiKIUWjqniJIkjOE0IA\ngamvx+EGMZsVhDYladI2+X72cnebPfHP7ezNLame8yuquPvQrkfWLxgvgNuIeKc6gP61G2jTvbb5\nAAaqO+ssM9c7nLOLf48lMx+pTqEvba6v2qEJMG9zNabqCtsM1NLVW0Rcsvm53lNh+wncUPWCr19j\neqU6gj5T4b/ITJeOjohdUqU9iYhrqoB8d+ixHELUNypnmfnddk09AaMWwjoR1hQk7cs5MLQlvwCm\nBsLp8U1BktRZU5AkdYaCJKkzFCRJnaEgSeoMBUlSZyhIkrofGQzCXoLlpkUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WM2vQji7sfsJ",
"colab_type": "text"
},
"source": [
"## Implementación del modelo SEIR\n",
"\n",
"El código es tomado de https://towardsdatascience.com/social-distancing-to-slow-the-coronavirus-768292f04296 aplicando el método de Euler semi-implicito"
]
},
{
"cell_type": "code",
"metadata": {
"id": "GCEGxAAlsfsK",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import ticker\n",
"\n",
"\"\"\"\n",
"BASE SEIR model\n",
"\"\"\"\n",
"def base_seir_model(init_vals, params, t):\n",
" S_0, E_0, I_0, R_0 = init_vals\n",
" S, E, I, R = [S_0], [E_0], [I_0], [R_0]\n",
" alpha, beta, gamma = params\n",
" dt = t[1] - t[0]\n",
" for _ in t[1:]:\n",
" next_S = S[-1] - (beta*S[-1]*I[-1])*dt\n",
" next_E = E[-1] + (beta*S[-1]*I[-1] - alpha*E[-1])*dt\n",
" next_I = I[-1] + (alpha*E[-1] - gamma*I[-1])*dt\n",
" next_R = R[-1] + (gamma*I[-1])*dt\n",
" S.append(next_S)\n",
" E.append(next_E)\n",
" I.append(next_I)\n",
" R.append(next_R)\n",
" return np.stack([S, E, I, R]).T\n",
"\n",
"\"\"\"\n",
"SEIR model with social distancing\n",
"\"\"\"\n",
"def seir_model_with_soc_dist(init_vals, params, t):\n",
" S_0, E_0, I_0, R_0 = init_vals\n",
" S, E, I, R = [S_0], [E_0], [I_0], [R_0]\n",
" alpha, beta, gamma, rho = params\n",
" dt = t[1] - t[0]\n",
" for _ in t[1:]:\n",
" next_S = S[-1] - (rho*beta*S[-1]*I[-1])*dt\n",
" next_E = E[-1] + (rho*beta*S[-1]*I[-1] - alpha*E[-1])*dt\n",
" next_I = I[-1] + (alpha*E[-1] - gamma*I[-1])*dt\n",
" next_R = R[-1] + (gamma*I[-1])*dt\n",
" S.append(next_S)\n",
" E.append(next_E)\n",
" I.append(next_I)\n",
" R.append(next_R)\n",
" return np.stack([S, E, I, R]).T"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "Jl4LdSBEsfsN",
"colab_type": "text"
},
"source": [
"## Valores iniciales y parámetros\n",
"\n",
"Se van a simular 100 días desde el día 1 (primer infectado) para colombia, usando una población total de 50 millones. el parámetro $\\alpha$, el periodo de incubación será de 0.2, aunque se ha estimado un rango de 2 a 14 días, se toma este parámetro de la siguiente publicación: https://www.medrxiv.org/content/10.1101/2020.02.08.20021162v1, como $\\gamma$ es el inverso del periodo infeccioso medio, se da un valor de 0,5 (dos días), de acuerdo a la siguiente publicación (https://arxiv.org/pdf/2002.06563.pdf). Siguiendo los datos para los primeros 18 días en Colombia al ajustar la curva se obtiene un $R_0 = 6$, que a la fecha esta lejos de los modelos realizados por el gobierno (2.4), hay que tener en cuenta que $R_0$, incluso puede tener un valor mayor, este es un parámetro difícil de establecer, por que se requiere una gran cantidad de examenes diagnósticos para poder ajustar las curvas que definen este parámetro, por el momento lo ajustamos a los datos que se encuentran oficiales. Sin embargo, este valor puede aumentar o disminuir. Por último el parámetro $\\beta$ se obtiene reemplazando en la ecuación $R_0 = \\beta / \\gamma$ y tendrá un valor de 3.0.\n",
"A continuación se definen los parámetros"
]
},
{
"cell_type": "code",
"metadata": {
"id": "imUXSnVxsfsO",
"colab_type": "code",
"colab": {}
},
"source": [
"# initial var. and parameters\n",
"t_max = 100\n",
"dt = .1\n",
"scale_x = 1 / dt\n",
"t = np.linspace(0, t_max, int(t_max/dt) + 1)\n",
"N = 5.0e7\n",
"init_vals = 1 - 1/N, 1/N, 0, 0\n",
"alpha = 0.2\n",
"beta = 3.0\n",
"gamma = 0.5\n",
"params_base = alpha, beta, gamma"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "L_G1K-1psfsQ",
"colab_type": "text"
},
"source": [
"## Simulación Covid-19\n",
"\n",
"La función del modelo se llama con los valores y parámetros iniciales definidos."
]
},
{
"cell_type": "code",
"metadata": {
"id": "wrjF4M1PsfsR",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 515
},
"outputId": "474e7bac-d8af-47ca-d711-b6c885bb3597"
},
"source": [
"# Run simulation\n",
"results_base = base_seir_model(init_vals, params_base, t)\n",
"\n",
"# Plot results\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"ax.plot(results_base)\n",
"ax.legend(['Susceptible', 'Expuestos', 'Infectados', 'Recuperados'])\n",
"\n",
"ax.set_xlabel('Tiempo (Días)')\n",
"ticks_x = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale_x))\n",
"ax.xaxis.set_major_formatter(ticks_x)\n",
"ax.set_ylabel('Porcentaje de población')\n",
"ax.set_title(r'SEIR model con $\\alpha={p[0]}, \\beta={p[1]}, \\gamma={p[2]}$'.format(p=params_base))\n",
"plt.xlim(100, 750) # \n",
"plt.show()\n",
"\n",
"\n"
],
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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RJkclWkSkGhcPbEeY28Wb3252OooI4Lsa4e6776F42TJS//EPovr1czqSSJOk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\nIYTBpIgWQgh7SbsMu2ZAvf7gW9boNCQtWEBOXDwlRtzfnOr2NYPxcjW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FrV6CvbNgags4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\n9l1YAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "7K74TH1IsfsU",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 137
},
"outputId": "302632f3-6445-4a58-f306-b016fa1322fc"
},
"source": [
"# peak of Infected\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns; sns.set()\n",
"N=5.0e7\n",
"infectados = results_base[:,2]*N\n",
"int_array = infectados.astype(int)\n",
"days = results_base[:,2]/scale_x\n",
"df = pd.DataFrame(data=int_array, columns=[\"column1\"])\n",
"df.to_csv('infectados.csv', sep='\\t')\n",
"\n",
"\n",
"\n",
"N_col=5e7\n",
"print(type(infectados))\n",
"print('Fracción de población infectada = {}'.format(results_base[:,2].max()))\n",
"print('Día del máximo pico de infectados = {}'.format(results_base[:,2].argmax()/scale_x))\n",
"print('Población infectada = {}'.format(int(results_base[:,2].max()*N_col)))\n",
"print('Población asintomática (aprox) = {}'.format(int(results_base[:,2].max()*N_col*0.8)))\n",
"\n",
"# Este valor se determinó usando los datos en españa\n",
"\n",
"print('Población en UCI + atención hospitalaria (aprox) = {}'.format(int(results_base[:,2].max()*N_col*0.09711286089)))\n",
"print('Muertes (aprox) = {}'.format(int(results_base[:,2].max()*N_col*0.09711286089*0.02)))\n"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"<class 'numpy.ndarray'>\n",
"Fracción de población infectada = 0.146913469239323\n",
"Día del máximo pico de infectados = 46.0\n",
"Población infectada = 7345673\n",
"Población asintomática (aprox) = 5876538\n",
"Población en UCI + atención hospitalaria (aprox) = 713359\n",
"Muertes (aprox) = 14267\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "AnCINbWDsfsX",
"colab_type": "text"
},
"source": [
"## Reultados sin distancia social\n",
"\n",
"De acuerdo con la población colombiana (aprox. $5 x 10^7$) y los parámetros anteriormente mencionados, el pico máximo de infección aparece alrededor de 46 días y se estima que afecta aproximadamente al 14.69% de la población. De estas, necesitarían 713359 camas en UCI + atención hospitalaria, incluidos respiradores y personal médico, claramente Colombia no tiene esa capacidad ni la logística para afrontar esta cantidad de enfermos.\n",
"\n",
"\n",
"## Simulación usando $R_0$ = 2.5\n",
"\n",
"A continuación realizaremos las simulaciones usando el $R_0 = 2.5$, como lo ha planteado el gobierno, recuerde esta simulación es sin distancia social.\n",
"\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "xSaZgrIdsfsY",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 639
},
"outputId": "e1c6ff64-7227-49ae-aba3-94145613cab0"
},
"source": [
"# initial var. and parameters\n",
"t_max = 200\n",
"dt = .1\n",
"scale_x = 1 / dt\n",
"t = np.linspace(0, t_max, int(t_max/dt) + 1)\n",
"N = 5.0e7\n",
"init_vals = 1 - 1/N, 1/N, 0, 0\n",
"alpha = 0.2\n",
"beta = 1.25\n",
"gamma = 0.5\n",
"params_base = alpha, beta, gamma\n",
"\n",
"\n",
"# Run simulation\n",
"results_base = base_seir_model(init_vals, params_base, t)\n",
"\n",
"# Plot results\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"ax.plot(results_base)\n",
"ax.legend(['Susceptibles', 'Expuestos', 'Infectados', 'Recuperados'])\n",
"\n",
"ax.set_xlabel('Tiempo (Días)')\n",
"ticks_x = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale_x))\n",
"ax.xaxis.set_major_formatter(ticks_x)\n",
"ax.set_ylabel('Porcentaje de población')\n",
"ax.set_title(r'SEIR model con $\\alpha={p[0]}, \\beta={p[1]}, \\gamma={p[2]}$'.format(p=params_base))\n",
"plt.xlim(600, 1500) # \n",
"plt.show()\n",
"\n",
"# peak of Infected\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns; sns.set()\n",
"N=5.0e7\n",
"infectados = results_base[:,2]*N\n",
"int_array = infectados.astype(int)\n",
"days = results_base[:,2]/scale_x\n",
"df = pd.DataFrame(data=int_array, columns=[\"column1\"])\n",
"df.to_csv('infectados.csv', sep='\\t')\n",
"\n",
"\n",
"\n",
"N_col=5e7\n",
"print(type(infectados))\n",
"print('Fracción de población infectada = {}'.format(results_base[:,2].max()))\n",
"print('Día del máximo pico de infectados = {}'.format(results_base[:,2].argmax()/scale_x))\n",
"print('Población infectada = {}'.format(int(results_base[:,2].max()*N_col)))\n",
"print('Población asintomática (aprox) = {}'.format(int(results_base[:,2].max()*N_col*0.8)))\n",
"\n",
"\n",
"# Este valor se determinó usando los datos en españa\n",
"\n",
"print('Población en UCI + atención hospitalaria (aprox) = {}'.format(int(results_base[:,2].max()*N_col*0.09711286089)))\n",
"print('Muertes (aprox) = {}'.format(int(results_base[:,2].max()*N_col*0.09711286089*0.02)))\n"
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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OlW04TrbjWNmG42QbjpPtOFa24ThVH7sp4pVlYkxzlBossIoirFYRoghYRRGiKMIq4sZl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\nKIL/Dzt3ctpkdK0fAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"<class 'numpy.ndarray'>\n",
"Fracción de población infectada = 0.06628194616888806\n",
"Día del máximo pico de infectados = 107.0\n",
"Población infectada = 3314097\n",
"Población asintomática (aprox) = 2651277\n",
"Población en UCI + atención hospitalaria (aprox) = 321841\n",
"Muertes (aprox) = 6436\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "oWMAkGSFsfsa",
"colab_type": "text"
},
"source": [
"## Modelo SEIR con distancia social \n",
"\n",
"Ahora echemos un vistazo a cuál es el patrón de transmisión Corona 19 cuando se hace el distanciamiento social (Soc). El parámetro $\\rho = 0.8$ se agrega al modelo SEIR básico anterior y se grafica con el modelo base para compararlo con el modelo básico. En este caso, se supone que el 20% de las personas están haciendo la distancia social correctamente."
]
},
{
"cell_type": "code",
"metadata": {
"id": "jDMtg7gnsfsb",
"colab_type": "code",
"colab": {}
},
"source": [
"rho = 0.8 \n",
"params_soc = alpha, beta, gamma, rho\n",
"# Run simulation\n",
"results_soc = seir_model_with_soc_dist(init_vals, params_soc, t)\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "xfLU-1QKsfsd",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 520
},
"outputId": "980fad7a-0a61-4c33-b7b8-9d2785f8b9ee"
},
"source": [
"# Plot results\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"\n",
"ax.plot(results_base, linestyle='-')\n",
"ax.plot(results_soc, linestyle=':')\n",
"ax.legend(['$Susceptibles$', '$Expuestos$', '$Infectados$', '$Recuperados$',\\\n",
" '$Susceptibles_{soc}$', '$Expuestos_{soc}$', '$Infectados_{soc}$', '$Recuperados_{soc}$'])\n",
"\n",
"ax.set_xlabel('Time (Days)')\n",
"ticks_x = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale_x))\n",
"ax.xaxis.set_major_formatter(ticks_x)\n",
"\n",
"ax.set_ylabel('Population fraction')\n",
"ax.set_title(r'Modelo SEIR con $\\alpha={p[0]}, \\beta={p[1]}, \\gamma={p[2]}, \\rho={p[3]}$'.format(p=params_soc) )\n",
"\n",
"\n",
"plt.show()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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mI4TodaTnWgghjtMpCpOGJfG7H+Zx/ayBHC5r5IG/fsl7nx/Gc/zkPNE1vjkc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\nZQYSPS+vAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9zg3NhVesfsg",
"colab_type": "text"
},
"source": [
"Se muestran los resultados del modelo Base SEIR (línea continua) y el modelo de distancia social (soc) (línea punteada). En general, podemos ver que la proporción de exposición y la población afectada está disminuyendo y retrasando en el tiempo.\n",
"\n",
"#### El efecto de la distancia social.\n",
"\n",
"En comparación con el modelo Base, identificamos el impacto en la exposición y la proporción de poblaciones infectadas y qué tan tarde es el número máximo de personas infectadas."
]
},
{
"cell_type": "code",
"metadata": {
"id": "apXfOGGysfsh",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
},
"outputId": "93f0ef5d-3583-4197-bb14-45e3a379f690"
},
"source": [
"r_E = results_soc[:,1].max() / results_base[:,1].max()\n",
"r_I = results_soc[:,2].max() / results_base[:,2].max()\n",
"d_I = ( results_soc[:,2].argmax() - results_base[:,2].argmax() ) / scale_x\n",
"\n",
"print(r'Efecto del distanciamiento social: $\\rho={}$'.format(rho))\n",
"print(r' Radio de caida expuesto = {}'.format(1-r_E))\n",
"print(r' Radio de caida Infectados = {}'.format(1-r_I))\n",
"print(r' Retrazo del pico de infectados = {}'.format(d_I))"
],
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": [
"Efecto del distanciamiento social: $\\rho=0.8$\n",
" Radio de caida expuesto = 0.346543102698871\n",
" Radio de caida Infectados = 0.3403237213298035\n",
" Retrazo del pico de infectados = 39.1\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "BAt5MgZtsfsk",
"colab_type": "text"
},
"source": [
"Una distancia social de $\\rho$ = 0.8\n",
"\n",
"El distanciamiento social se calcula para reducir la población expuesta y las personas infectadas en un 23% y 22% respectivamente, y retrasar el día en que la persona infectada alcanza su máximo.\n",
"\n",
"Según los resultados de la simulación, incluso si la distancia social es de aproximadamente el 20% (𝑟ℎ𝑜 = 0.8\n",
") tiene éxito, se calcula que habrá un efecto significativo en la cuarentena. Sin embargo, la distancia social del 20% no se establece porque es necesario practicar la distancia social durante más de 100 días.\n",
"\n",
"## En Conclusión\n",
"\n",
"Las medidas tomadas por el gobierno son las necesarias, un distanciamiento social ayuda a que el sistema de salud no colapse, además solo funciona si todos tomamos conciencia, asi que quedese en casa lo más posible y evite el contacto con otras personas por lo menos hasta que el toque de queda acabe, recuerde por lo menos 3.4 millones de personas en Colombia se van a infectar en algún momento, la idea es que no todas enfermen al tiempo."
]
},
{
"cell_type": "code",
"metadata": {
"id": "mBV7qaLJs0Mc",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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