Skip to content

Instantly share code, notes, and snippets.

@rsnemmen
Last active March 16, 2020 15:10
Show Gist options
  • Save rsnemmen/76cf0d35d40bfbc23e4253be6fbfccb7 to your computer and use it in GitHub Desktop.
Save rsnemmen/76cf0d35d40bfbc23e4253be6fbfccb7 to your computer and use it in GitHub Desktop.
Jupyter notebook com analise simples da evolução do COVID-19 no Brasil
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Evolução de casos de COVID-19 no Brasil\n",
"===================="
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/nemmen/anaconda3/lib/python3.7/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['cov']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n",
" \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"import scipy.optimize\n",
"import pandas as pd\n",
"import nmmn.misc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Dados"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Casos confirmados e suspeitos"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"t=['2020-2-6','2020-3-5','2020-3-9','2020-3-10','2020-3-11','2020-3-12','2020-3-13','2020-3-14','2020-3-15']\n",
"n=array([0,8,25,34,52,77,98,121,200])\n",
"nerr=array([9,636,930,893,907,1427,1485,1494,1915])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Converte tempo para formato pandas"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"tp=pd.to_datetime(t)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"df = pd.DataFrame(data={'n':n}, index=tp)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Inspeção dos dados"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Tempo')"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df['n'].plot(linewidth=3,style='o-',ms=10)\n",
"ylabel('$N$',size=15)\n",
"xlabel('Tempo', size=15)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Capacidade do sistema hospitalar\n",
"\n",
"Fontes:\n",
"\n",
"- https://www1.folha.uol.com.br/equilibrioesaude/2020/03/so-internacoes-em-utis-podem-custar-mais-de-r-1-bi-ao-sus-diz-estudo.shtml"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [],
"source": [
"# fracao de casualidades\n",
"mortes=0.03"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [],
"source": [
"# quantidade de respiradores SUS no pais\n",
"respSUS=5846\n",
"\n",
"# quantidade de respiradores total, incluindo sistema privado\n",
"resp=64900"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Fracao da população do Brasil em SP"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"fracSP=0.22"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Modelo "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Conversão das datas formato `pandas` para um array normal. Eu subtrai 2020 abaixo para não ter problemas com o ajuste dos modelos"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"x=nmmn.misc.date2dec(df.index)\n",
"xfit=x-2020"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Capacidade do sistema hospitalar"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimativa de respiradores no sistema SUS no estado de São Paulo. Normalizado pela fração da população que mora no estado de SP"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"respSP=fracSP*respSUS"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exponencial"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"fexp=lambda x,a,b: a*exp(x/b) # function definition"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"p0=1.,0.1 # initial guess for the parameters in log\n",
"fit,cov = scipy.optimize.curve_fit(fexp, xfit, n, p0=p0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Array maior de tempos para graficar modelo"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [],
"source": [
"x2=linspace(xfit[0],xfit[-1]+0.008)"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.Series(fexp(x2,fit[0],fit[1]),index=nmmn.misc.convertyear(x2+2020)).plot(label='Modelo exponencial', lw=4)\n",
"df['n'].plot(label='Dados (cumulativos)',linewidth=3,style='o',ms=10)\n",
"\n",
"xlabel('Tempo', fontsize=15)\n",
"ylabel('$N$', fontsize=15)\n",
"title('Casos confirmados de COVID-19 no Brasil', fontsize=15)\n",
"\n",
"legend(fontsize=13)\n",
"tick_params(axis='both', which='major', labelsize=13)\n",
"tick_params(axis='both', which='minor', labelsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [],
"source": [
"x2=linspace(xfit[0],xfit[-1]+0.08)"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.Series(fexp(x2,fit[0],fit[1]),index=nmmn.misc.convertyear(x2+2020)).plot(label='Modelo exponencial', lw=4)\n",
"df['n'].plot(label='Dados (cumulativo)',linewidth=3,style='o',ms=10)\n",
"\n",
"# capacidade sistema hospitalar\n",
"#pd.Series(respSP*ones_like(x2),index=nmmn.misc.convertyear(x2+2020)).plot(label='Capacidade respiradores SP', lw=4)\n",
"\n",
"xlabel('Tempo', fontsize=15)\n",
"ylabel('$N$', fontsize=15)\n",
"title('Casos confirmados de COVID-19 no Brasil', fontsize=15)\n",
"ylim(1,100000)\n",
"\n",
"legend(fontsize=13)\n",
"tick_params(axis='both', which='major', labelsize=13)\n",
"tick_params(axis='both', which='minor', labelsize=12)\n",
"yscale('log')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tempo para dobrar o número de casos em dias"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.9303645837663157"
]
},
"execution_count": 118,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit[1]*365"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Projeções"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.Series(mortes*fracSP*fexp(x2,fit[0],fit[1]),index=nmmn.misc.convertyear(x2+2020)).plot(label='Casos críticos (modelo)', lw=4)\n",
"#df['n'].plot(label='Dados (cumulativo)',linewidth=3,style='o',ms=10)\n",
"\n",
"# capacidade sistema hospitalar\n",
"pd.Series(respSP*ones_like(x2),index=nmmn.misc.convertyear(x2+2020)).plot(label='Numero respiradores SUS', lw=4)\n",
"\n",
"xlabel('Tempo', fontsize=15)\n",
"ylabel('$N$', fontsize=15)\n",
"title('Quando o sistema hospitalar vai saturar em SP?', fontsize=15)\n",
"ylim(1,100000)\n",
"\n",
"legend(fontsize=13)\n",
"tick_params(axis='both', which='major', labelsize=13)\n",
"tick_params(axis='both', which='minor', labelsize=12)\n",
"yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.Series(mortes*fexp(x2,fit[0],fit[1]),index=nmmn.misc.convertyear(x2+2020)).plot(label='Casos críticos (exponencial)', lw=4)\n",
"df['n'].plot(label='Dados, casos confirmados (cumulativo)',linewidth=3,style='o',ms=10)\n",
"\n",
"# capacidade sistema hospitalar\n",
"pd.Series(respSUS*ones_like(x2),index=nmmn.misc.convertyear(x2+2020)).plot(label='Numero respiradores SUS', lw=4)\n",
"pd.Series(resp*ones_like(x2),index=nmmn.misc.convertyear(x2+2020)).plot(label='Numero respiradores (+sistema privado)', lw=4)\n",
"\n",
"xlabel('Tempo', fontsize=15)\n",
"ylabel('$N$', fontsize=15)\n",
"title('Quando o sistema hospitalar vai saturar no Brasil?', fontsize=15)\n",
"ylim(1,100000)\n",
"\n",
"legend(fontsize=11,loc='lower left')\n",
"tick_params(axis='both', which='major', labelsize=13)\n",
"tick_params(axis='both', which='minor', labelsize=12)\n",
"yscale('log')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sandbox"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.68"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"136/200"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1286.1200000000001"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"respSP"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([2020.09836066, 2020.17486339, 2020.18579235, 2020.18852459,\n",
" 2020.19125683, 2020.19398907, 2020.19672131, 2020.19945355])"
]
},
"execution_count": 143,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment