Skip to content

Instantly share code, notes, and snippets.

@grocid
Created April 24, 2020 18:35
Show Gist options
  • Save grocid/d33cc3f9c238ffa031d771baab67b2b3 to your computer and use it in GitHub Desktop.
Save grocid/d33cc3f9c238ffa031d771baab67b2b3 to your computer and use it in GitHub Desktop.
SIRD
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 125,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 4 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|CFR:|\\phantom{\\verb!x!}\\verb|1.655685|\\phantom{\\verb!x!}\\verb|procent|</script></html>"
],
"text/plain": [
"'CFR: 1.655685 procent'"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|Flockimmunitet|\\phantom{\\verb!x!}\\verb|vid:|\\phantom{\\verb!x!}\\verb|93.579062|\\phantom{\\verb!x!}\\verb|procent|</script></html>"
],
"text/plain": [
"'Flockimmunitet vid: 93.579062 procent'"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|Totalt|\\phantom{\\verb!x!}\\verb|antal|\\phantom{\\verb!x!}\\verb|avlidna:|\\phantom{\\verb!x!}\\verb|14901|</script></html>"
],
"text/plain": [
"'Totalt antal avlidna: 14901'"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|Peak|\\phantom{\\verb!x!}\\verb|infekterade|\\phantom{\\verb!x!}\\verb|vid|\\phantom{\\verb!x!}\\verb|t|\\phantom{\\verb!x!}\\verb|=|\\phantom{\\verb!x!}\\verb|97|\\phantom{\\verb!x!}\\verb|(nu|\\phantom{\\verb!x!}\\verb|57)|</script></html>"
],
"text/plain": [
"'Peak infekterade vid t = 97 (nu 57)'"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### from sage.calculus.desolvers import desolve_system_rk4\n",
"\n",
"t,s,i,r,d = var('t,s,i,r,d')\n",
"\n",
"# population size (in thousands)\n",
"N = 900\n",
"\n",
"# recovery time\n",
"D = 30\n",
"g = 1/D\n",
"\n",
"# mortality\n",
"u = 0.0006\n",
"\n",
"# infection rate\n",
"b = 0.1\n",
"\n",
"# probability to successfully develop antibodies\n",
"Pr_immuntity = 1\n",
"\n",
"# intial infected\n",
"i0 = 3\n",
"\n",
"deaths_stockholm = [ \n",
" 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
" 0, 1, 1, 1, 1, 2, 5, 5, 5, 5, 8,\n",
" 10, 10, 16, 19, 37, 43, 60, 63, 68, 89, 104,\n",
" 149, 179, 204, 225, 251, 303, 381, 419, 486, 510, 523,\n",
" 528, 543, 616, 702, 795, 816, 897, 921, 944, 1022, 1070,\n",
" 1128, 1192\n",
"]\n",
"\n",
"# model\n",
"dsdt = -b*s*i/N + (1-Pr_immuntity)*g*i\n",
"didt = b*s*i/N - g*i - u*i\n",
"drdt = Pr_immuntity*g*i\n",
"dddt = u*i\n",
"\n",
"P = desolve_system_rk4(\n",
" [\n",
" dsdt,\n",
" didt,\n",
" drdt,\n",
" dddt\n",
" ],\n",
" [s,i,r,d],\n",
" ics=[0,N-i0,i0,0,0],\n",
" ivar=t,\n",
" end_points=356\n",
")\n",
"\n",
"\n",
"def plot(i, P, color, label):\n",
" values = [[p[0],p[i]] for p in P]\n",
" return list_plot(\n",
" values, \n",
" plotjoined=True, \n",
" rgbcolor=color, \n",
" legend_label=label\n",
" )\n",
" \n",
"show(\n",
" plot(1, P, 'blue', 'Ej smittade') +\n",
" plot(2, P, 'orange', 'Smittade') +\n",
" plot(3, P, 'green', 'Immuna') +\n",
" plot(4, P, 'red', 'Avlidna')\n",
")\n",
"\n",
"lim_s = P[-1][1]\n",
"lim_i = P[-1][2]\n",
"lim_r = P[-1][3]\n",
"lim_d = P[-1][4]\n",
"\n",
"cfr = float(100 * lim_d / N)\n",
"p_imm = float(100 * lim_r / (lim_s + lim_r))\n",
"\n",
"show(\"CFR: %f procent\" % cfr)\n",
"show(\"Flockimmunitet vid: %f procent\" % p_imm)\n",
"show(\"Totalt antal avlidna: %d\" % int(1e3 * lim_d))\n",
"\n",
"peak_infected = max([p[2] for p in P])\n",
"t_peak_infected = int([\n",
" i for i, j in enumerate([p[2] for p in P]) if j == peak_infected\n",
"][0]/10)\n",
"\n",
"show(\"Peak infekterade vid t = %d (nu %d)\" % (t_peak_infected, len(deaths_stockholm)))\n"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 2 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"td = [\n",
" [t,d/1e3] for t,d in enumerate(deaths_stockholm)\n",
"]\n",
"\n",
"show(\n",
" plot(1, td, 'black', 'Observerade avlidna') +\n",
" plot(4, P, 'blue', 'Projicerade avlidna')\n",
")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 8.1",
"language": "",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.17"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment