From 94e854d217516ec4ec7eec0de03081cf687c4007 Mon Sep 17 00:00:00 2001 From: David Ramos Salamanca <ramosd@jupyterMiLAB> Date: Wed, 7 Apr 2021 23:58:15 -0500 Subject: [PATCH] solucion --- .gitignore | 1 + Simulando_una_epidemia.ipynb | 577 +++++++++++++++++++++++++++++++++-- 2 files changed, 560 insertions(+), 18 deletions(-) create mode 100644 .gitignore diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..87620ac --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.ipynb_checkpoints/ diff --git a/Simulando_una_epidemia.ipynb b/Simulando_una_epidemia.ipynb index aa354d2..e40e226 100644 --- a/Simulando_una_epidemia.ipynb +++ b/Simulando_una_epidemia.ipynb @@ -131,7 +131,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy.integrate import odeint\n", + "import matplotlib.pyplot as plt\n", + "from scipy import stats" + ] + }, + { + "cell_type": "code", + "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -145,13 +157,21 @@ }, "outputId": "4f36827d-6ff3-4554-df30-3e7e27fbfd36" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "en el dia 0:\n", + "suseptibles: 1.0 , infectados: 0.0 , recuperados: 0.0\n", + "en el dia 50:\n", + "suseptibles: 0.78 , infectados: 0.12 , recuperados: 0.1\n", + "en el dia 180:\n", + "suseptibles: 0.12 , infectados: 0.0 , recuperados: 0.88\n" + ] + } + ], "source": [ - "import numpy as np\n", - "from scipy.integrate import odeint\n", - "import matplotlib.pyplot as plt\n", - "\n", - "\n", "# parametros \n", "R0 = 2.4\n", "t_infectividad = 8.4\n", @@ -197,9 +217,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x432 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "def plotdata(t, s, i, e=None):\n", " # plot the data\n", @@ -262,7 +295,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -270,12 +303,25 @@ "id": "z_7OPTr-uLp5", "outputId": "6d8dbfa6-a52f-4142-f742-6b6a91e2e6d1" }, - "outputs": [], + "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": [ "s = np.random.lognormal(1.1, 0.21, 1000)\n", "plt.hist(s, density=True, bins=100)\n", "plt.ylabel('Probabilidad')\n", - "plt.xlabel('R0');\n" + "plt.xlabel('R0');" ] }, { @@ -291,9 +337,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "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": [ "s = np.random.normal(8.7, 3, 1000)\n", "plt.hist(s, density=True, bins=100)\n", @@ -312,6 +371,273 @@ "- Producir una figura del numero de personas infectadas como funcion de tiempo, la figura debe incluir intervalos de confianza ([ejemplo de la figura esperada](https://medium.com/data-for-science/epidemic-modeling-103-adding-confidence-intervals-and-stochastic-effects-to-your-covid-19-models-be618b995d6b)).\n" ] }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# redefinimos la incertidumbre en los parámetros\n", + "R_0s = np.random.lognormal(1.1, 0.21, 32) # normal R0\n", + "ts_infectividad = np.random.normal(8.7, 3, 32) # normal tau\n", + "#R_0s = np.random.lognormal(-0.1, 0.15, 32) # R0 brought down to 1\n", + "#ts_infectividad = np.random.normal(3, 1, 32)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# creamos una función que resuelve el modelo SIR\n", + "def modelo(R_0,t_infectividad,t):\n", + " # recibe los parámetros R_0 y t_infectividad, y la malla temporal\n", + " gamma = 1/t_infectividad\n", + " beta = R_0*gamma\n", + "\n", + " # SIR model equaciones diferenciales.\n", + " def deriv(x, t, beta, gamma):\n", + " s, i, r = x\n", + " dsdt = -beta * s * i\n", + " didt = beta * s * i - gamma * i\n", + " drdt = gamma * i\n", + " return [dsdt, didt, drdt]\n", + "\n", + " #condiciones iniciales\n", + " i_inicial = (1/20000)\n", + " r_inicial = 0.00\n", + " s_inicial = (1 - i_inicial - r_inicial)\n", + "\n", + " x_inicial = s_inicial, i_inicial, r_inicial\n", + "\n", + " # usamos la funcion odeint de scipy para resolver numericamente ecuaciones diferenciales\n", + " soln = odeint(deriv, x_inicial, t, args=(beta, gamma))\n", + " s, i, r = soln.T\n", + " \n", + " return [s,i,r]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# definir el periodo de tiempo\n", + "t = np.linspace(0, 180, 180)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# iteramos sobre toda la muestra de parámetros\n", + "modelos = []\n", + "for R_0 in R_0s:\n", + " for t_infectividad in ts_infectividad:\n", + " modelos.append(modelo(R_0,t_infectividad,t))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "plots = np.arange(0,len(modelos),100)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "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": [ + "# graficamos algunos de los modelos\n", + "for index in plots:\n", + " plt.plot(t,modelos[int(index)][1],label=str(index))\n", + " plt.xlim()\n", + " plt.legend()\n", + "plt.ylabel('Fracción de infectados')\n", + "plt.xlabel('t')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# convirtiendo los modelos a un arreglo de numpy\n", + "models_np = np.asarray(modelos)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# extrayendo la fracción la fracción de infectados de cada modelo\n", + "infs = np.asarray([model[1][:] for model in models_np[:]])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Una primera aproximación al intervalo de confianza consiste en calcular la desviación estándar del número de infectados para cada dÃa y usar el hecho de que el 95% de los datos se encuentran entre dos desviaciones estándar." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "mean_inf = np.mean(infs,axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "std_inf = np.std(infs,axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "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": [ + "plt.plot(t,mean_inf)\n", + "plt.fill_between(t,mean_inf-std_inf,mean_inf+std_inf,color='b', alpha=.1)\n", + "plt.ylabel('Fracción de infectados')\n", + "plt.xlabel('t')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El intervalo de confianza inferior alcanza valores negativos por lo que este método no funciona muy bien." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# función que calcula los intervalos de confianza siguiendo\n", + "# https://stackoverflow.com/questions/15033511/compute-a-confidence-interval-from-sample-data\n", + "def mean_confidence_interval(data, confidence=0.95):\n", + " a = 1.0 * np.array(data)\n", + " n = len(a)\n", + " m, se = np.mean(a), stats.sem(a)\n", + " h = se * stats.t.ppf((1 + confidence) / 2., n-1)\n", + " return m, m-h, m+h" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "c_ints_inf = np.asarray([mean_confidence_interval(inf) for inf in infs.T]).T" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "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": [ + "plt.plot(t,c_ints_inf[0])\n", + "plt.fill_between(t,c_ints_inf[1],c_ints_inf[2],color='b', alpha=.1)\n", + "plt.ylabel('Fracción de infectados')\n", + "plt.xlabel('t')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Para el dÃa 120 de la pandemia:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "estimado medio de infectados 119.96867685707846\n", + "estimado mÃnimo 98.09902121935859\n", + "estimado máximo 141.83833249479832\n" + ] + } + ], + "source": [ + "print('estimado medio de infectados',c_ints_inf[0][120]*20000)\n", + "print('estimado mÃnimo',c_ints_inf[1][120]*20000)\n", + "print('estimado máximo',c_ints_inf[2][120]*20000)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -332,12 +658,227 @@ "- Discutir las limitaciones de sus modelos, y qué tanta confianza tienen en la recomendación que han dado al gobierno. " ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Escenario 1" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# llevando el R0 a alrededor de 1\n", + "R_0s = np.random.lognormal(-0.1, 0.15, 32)\n", + "ts_infectividad = np.random.normal(8.7, 3, 32) # normal t_inefectividad range" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "t = np.linspace(0, 1000, 1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# iteramos sobre toda la muestra de parámetros\n", + "modelos = []\n", + "for R_0 in R_0s:\n", + " for t_infectividad in ts_infectividad:\n", + " modelos.append(modelo(R_0,t_infectividad,t))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# convirtiendo los modelos a un arreglo de numpy\n", + "models_np = np.asarray(modelos)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# extrayendo la fracción la fracción de infectados de cada modelo\n", + "infs = np.asarray([model[1][:] for model in models_np[:]])" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "c_ints_inf = np.asarray([mean_confidence_interval(inf) for inf in infs.T]).T" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "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": [ + "plt.plot(t,c_ints_inf[0])\n", + "plt.fill_between(t,c_ints_inf[1],c_ints_inf[2],color='b', alpha=.1)\n", + "plt.ylabel('Fracción de infectados')\n", + "plt.xlabel('t')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Para este escenario se puede apreciar que la fracción de infectados disminuye considerablemente y el pico ocurre más tarde. A pesar de que el intervalo de confianza es mucho más grande, la reducción de la media es suficiente para realizar las afirmaciones anteriores." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Escenario 2" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "R_0s = np.random.lognormal(1.1, 0.21, 32) # normal R0\n", + "# llevando el tau a 3 +/- 1 dÃas\n", + "ts_infectividad = np.random.normal(3, 1, 32) " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "t = np.linspace(0, 180, 180)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "# iteramos sobre toda la muestra de parámetros\n", + "modelos = []\n", + "for R_0 in R_0s:\n", + " for t_infectividad in ts_infectividad:\n", + " modelos.append(modelo(R_0,t_infectividad,t))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "# convirtiendo los modelos a un arreglo de numpy\n", + "models_np = np.asarray(modelos)" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "# extrayendo la fracción la fracción de infectados de cada modelo\n", + "infs = np.asarray([model[1][:] for model in models_np[:]])" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "c_ints_inf = np.asarray([mean_confidence_interval(inf) for inf in infs.T]).T" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "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": [ + "plt.plot(t,c_ints_inf[0])\n", + "plt.fill_between(t,c_ints_inf[1],c_ints_inf[2],color='b', alpha=.1)\n", + "plt.ylabel('Fracción de infectados')\n", + "plt.xlabel('t')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Para este escenario, el pico en la fracción de invitados aumenta ligeramente y además ocurre alrededor unos 20 dÃas antes." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Recomendación" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Deacuerdo a este modelo, implementar medidas de confinamiento que reduzcan el valor de R0 es preferible. Ya que reduce la fracción de la población que será infectada durante la pandemia y además aplana el pico, lo cual evita que los hospitales sobrepasen su capacidad a la hora de atender a los infectados." + ] } ], "metadata": { @@ -346,9 +887,9 @@ "provenance": [] }, "kernelspec": { - "display_name": "clase13datos", + "display_name": "clase17datos", "language": "python", - "name": "clase13datos" + "name": "clase17datos" }, "language_info": { "codemirror_mode": { -- GitLab