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@luiarthur
Created March 30, 2022 18:59
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SIR model using transition matrices
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "59b7d411-4ede-49d9-bf39-87a7555b19c3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Status\u001b[22m\u001b[39m `~/.julia/environments/v1.7/Project.toml`\n",
" \u001b[90m [6e4b80f9] \u001b[39mBenchmarkTools v1.3.1\n",
" \u001b[90m [13f3f980] \u001b[39mCairoMakie v0.7.5\n",
" \u001b[90m [31c24e10] \u001b[39mDistributions v0.25.37\n",
" \u001b[90m [f6369f11] \u001b[39mForwardDiff v0.10.25\n",
" \u001b[90m [7073ff75] \u001b[39mIJulia v1.23.2\n",
" \u001b[90m [92933f4c] \u001b[39mProgressMeter v1.7.1\n",
" \u001b[90m [37e2e3b7] \u001b[39mReverseDiff v1.12.0\n",
" \u001b[90m [295af30f] \u001b[39mRevise v3.3.0\n",
" \u001b[90m [4c63d2b9] \u001b[39mStatsFuns v0.9.16\n",
" \u001b[90m [fd094767] \u001b[39mSuppressor v0.2.1\n",
" \u001b[90m [9f7883ad] \u001b[39mTracker v0.2.20\n",
" \u001b[90m [fce5fe82] \u001b[39mTuring v0.20.4\n",
" \u001b[90m [e88e6eb3] \u001b[39mZygote v0.6.35\n"
]
}
],
"source": [
"import Pkg; Pkg.status()"
]
},
{
"cell_type": "code",
"execution_count": 245,
"id": "0885cd20-353c-4dde-9a0c-74e12b022f49",
"metadata": {},
"outputs": [],
"source": [
"using Distributions\n",
"using StatsFuns\n",
"using Random\n",
"import CairoMakie as plt"
]
},
{
"cell_type": "code",
"execution_count": 175,
"id": "490dd94b-b779-450e-9f30-c93e98c36701",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"quantiles (generic function with 1 method)"
]
},
"execution_count": 175,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"quantiles(X::AbstractArray{<:Real}, q::Real; dims) = mapslices(x -> quantile(x, q), X, dims=dims)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "c24e5689-0193-4c32-a827-f8af495a16cd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"forecast (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"abstract type Model end\n",
"function forecast(m::Model, init_state::AbstractArray{<:Real}, n::Integer)\n",
" out = zeros(n + 1, length(init_state))\n",
" out[1, :] .= init_state\n",
" for i in 2:n+1\n",
" out[i, :] .= step(m, out[i - 1, :])\n",
" end\n",
" return out\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 462,
"id": "0e2f94ec-4262-4468-8669-25184b43f241",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"step (generic function with 2 methods)"
]
},
"execution_count": 462,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"struct M3{IR <: Real, RR <: Real} <: Model\n",
" infect_rate::IR\n",
" recovery_rate::RR\n",
"end\n",
"\n",
"function step(m::M3, state)\n",
" T = let\n",
" q = m.recovery_rate\n",
" # p = state[1] * state[2] * m.infect_rate\n",
" p = state[2] * m.infect_rate # * (1 - state[3] * q)\n",
" \n",
" [[ 1 - p 0 0]\n",
" [ p 1 - q 0]\n",
" [ 0 q 1]]\n",
" end\n",
" return T * state\n",
"end\n",
"\n",
"struct M4{IR <: Real, RR <: Real} <: Model\n",
" infect_rate::IR\n",
" recovery_rate::RR\n",
"end\n",
"\n",
"function step(m::M4, state)\n",
" a = 4\n",
" ir = rand(Beta(a * m.infect_rate, a * (1 - m.infect_rate)))\n",
" rr = rand(Beta(a * m.recovery_rate, a * (1 - m.recovery_rate)))\n",
" return step(M3(ir, rr), state)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 463,
"id": "6642b9ce-0ddf-418f-8d35-ddc4dcf50401",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Vector{Float64}:\n",
" 0.9985519292462197\n",
" 0.0013126783560343815\n",
" 0.0001353923977458707"
]
},
"execution_count": 463,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"step(m, init_state)"
]
},
{
"cell_type": "code",
"execution_count": 585,
"id": "8ab0010c-c739-4351-939d-bdf44a44e851",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.888005 seconds (13.75 M allocations: 700.764 MiB, 18.68% gc time, 4.36% compilation time)\n"
]
},
{
"data": {
"text/plain": [
"(361, 3, 2000)"
]
},
"execution_count": 585,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"init_state = [0.999, 0.001, 0]\n",
"m = M4(1/2, 1/5)\n",
"nperiod = 30 * 12\n",
"@time M = cat([forecast(m, init_state, nperiod) for _ in 1:2000]..., dims=3)\n",
"size(M)"
]
},
{
"cell_type": "code",
"execution_count": 586,
"id": "26bdbed7-0d32-4890-8f55-91a9f3989ffe",
"metadata": {},
"outputs": [],
"source": [
"# Summarize\n",
"path = let\n",
" (mean=dropdims(mean(M, dims=3), dims=3),\n",
" lower=dropdims(quantiles(M, 0.025, dims=3), dims=3),\n",
" upper=dropdims(quantiles(M, 0.975, dims=3), dims=3))\n",
"end;"
]
},
{
"cell_type": "code",
"execution_count": 587,
"id": "272b4f62-616f-4e0f-9ae9-65d6d8402c08",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure()"
]
},
"execution_count": 587,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = plt.Figure()\n",
"ax = plt.Axis(fig[1, 1], xlabel=\"Days\", ylabel=\"Proportion\")\n",
"colors = [:blue, :orange, :green]\n",
"label = [\"S\", \"I\", \"R\"]\n",
"for i in 1:3\n",
" plt.lines!(ax, 0:nperiod, path.mean[:, i], color=colors[i], linewidth=3, label=label[i])\n",
" plt.band!(ax, 0:nperiod, path.lower[:, i], path.upper[:, i], color=(colors[i], .2))\n",
" for j in 1:50:size(M, 3)\n",
" plt.lines!(ax, 0:nperiod, M[:, i, j], color=(colors[i], .5), linewidth=0.5)\n",
" end\n",
"end\n",
"plt.axislegend(position=:rc)\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 588,
"id": "ef72cb3d-7b3d-4346-aed4-281b94c92748",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Vector{Float64}:\n",
" 0.1193240035324252\n",
" 2.6472929983969077e-7\n",
" 0.8806757317382746"
]
},
"execution_count": 588,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"path.mean[end, :]"
]
},
{
"cell_type": "code",
"execution_count": 589,
"id": "815fcbb8-67e0-4834-b3aa-a69478158187",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"361×1 Matrix{Float64}:\n",
" 1.00000000000002\n",
" 0.9999999999999991\n",
" 0.9999999999999989\n",
" 0.9999999999999996\n",
" 1.0000000000000016\n",
" 0.999999999999999\n",
" 0.9999999999999997\n",
" 0.9999999999999987\n",
" 1.0000000000000004\n",
" 0.9999999999999998\n",
" 0.9999999999999999\n",
" 0.9999999999999992\n",
" 0.9999999999999987\n",
" ⋮\n",
" 0.9999999999999998\n",
" 0.9999999999999992\n",
" 0.9999999999999996\n",
" 0.9999999999999997\n",
" 0.9999999999999996\n",
" 0.9999999999999991\n",
" 0.9999999999999994\n",
" 0.9999999999999998\n",
" 0.9999999999999997\n",
" 1.0\n",
" 0.9999999999999996\n",
" 0.9999999999999997"
]
},
"execution_count": 589,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(path.mean, dims=2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b828b393-92c1-46a4-bec7-8482bf8f93cc",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.7.1",
"language": "julia",
"name": "julia-1.7"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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