population model with mixing.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.integrate import odeint\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Initial number of all compartment\n",
    "S0 = 39599400\n",
    "V0 = 0\n",
    "S_i0 = 26399600\n",
    "E_s0 = 0\n",
    "E_v0 = 0\n",
    "E_i0 = 0\n",
    "I_s0 = 1000\n",
    "I_v0 = 0\n",
    "I_i0 = 0\n",
    "A_s0 = 0\n",
    "A_v0 = 0\n",
    "A_i0 = 0\n",
    "R_s0 = 0\n",
    "R_v0 = 0\n",
    "R_i0 = 0\n",
    "C_s0 = 0\n",
    "C_v0 = 0\n",
    "C_i0 = 0\n",
    "\n",
    "# N is the sum of all the compartments\n",
    "N = S0 + V0 + S_i0 + E_s0 + E_v0 + E_i0 + I_s0 + I_v0 + I_i0 + A_s0 + A_v0 + A_i0 + R_s0 + R_v0 + R_i0\n",
    "\n",
    "# Definitions of parameters\n",
    "beta = 1.5\n",
    "kappa = 0.71\n",
    "alpha = 0.26\n",
    "eta = 0.26\n",
    "delta_i = 1\n",
    "delta_v = 1\n",
    "delta_a = 0.2\n",
    "s_i = 0.3\n",
    "s_v = 0.5\n",
    "p = 0.75\n",
    "q = 0.25\n",
    "l = 0.2\n",
    "epsilon = 0.1\n",
    "\n",
    "# A grid of time points (in days)\n",
    "t = np.linspace(0, 300, 300)\n",
    "\n",
    "# The SIR model differential equations.\n",
    "def deriv(y, t, N, beta, kappa, alpha, epsilon, eta,  delta_i, delta_v, delta_a, s_i, s_v, p, q, l):\n",
    "    S, V, S_i, E_s, E_v, E_i, I_s, I_v, I_i, A_s, A_v, A_i, R_s, R_v, R_i, C_s0, C_v0, C_i0 = y\n",
    "    Lambda = beta * I_s / N + beta * delta_a * A_s / N + beta * delta_v * I_v / N + beta * delta_v * delta_a * A_v / N + beta * delta_i * I_i / N + beta * delta_i * delta_a * A_i / N\n",
    "    dSdt = - Lambda * S - epsilon * S\n",
    "    dVdt = - s_v * Lambda * V + epsilon * S + epsilon * S_i\n",
    "    dS_idt = - s_i * Lambda * S_i - epsilon * S_i\n",
    "    dE_sdt = Lambda * S - kappa * E_s - epsilon * E_s\n",
    "    dE_vdt = s_v * Lambda * V - kappa * E_v + epsilon * E_s + epsilon * E_i\n",
    "    dE_idt = s_i * Lambda * S_i - kappa * E_i - epsilon * E_i\n",
    "    dI_sdt = p * kappa * E_s - alpha * I_s\n",
    "    dI_vdt = q * kappa * E_v - alpha * I_v\n",
    "    dI_idt = l * kappa * E_i - alpha * I_i\n",
    "    dA_sdt = (1-p) * kappa * E_s - eta * A_s - epsilon * A_s\n",
    "    dA_vdt = (1-q) * kappa * E_v - eta * A_v - epsilon * A_v\n",
    "    dA_idt = (1-l) * kappa * E_i - eta * A_i - epsilon * A_i\n",
    "    dR_sdt = alpha * I_s + eta * A_s - epsilon * R_s\n",
    "    dR_vdt = alpha * I_v + eta * A_v + epsilon * R_s + epsilon * R_i\n",
    "    dR_idt = alpha * I_i + eta * A_i - epsilon * R_i\n",
    "    dC_sdt = Lambda * S\n",
    "    dC_vdt = s_v * Lambda * V\n",
    "    dC_idt = s_i * Lambda * S_i\n",
    "    return dSdt, dVdt, dS_idt, dE_sdt, dE_vdt, dE_idt, dI_sdt, dI_vdt, dI_idt, dA_sdt, dA_vdt, dA_idt, dR_sdt, dR_vdt, dR_idt, dC_sdt, dC_vdt, dC_idt\n",
    "\n",
    "# Initial conditions vector\n",
    "y0 = S0, V0, S_i0, E_s0, E_v0, E_i0, I_s0, I_v0, I_i0, A_s0, A_v0, A_i0, R_s0, R_v0, R_i0, C_s0, C_v0, C_s0\n",
    "\n",
    "# Integrate the SIR equations over the time grid, t.\n",
    "ret = odeint(deriv, y0, t, args=(N, beta, kappa, alpha, epsilon, eta, delta_i, delta_v, delta_a, s_i, s_v, p, q, l))\n",
    "S, V, S_i, E_s, E_v, E_i, I_s, I_v, I_i, A_s, A_v, A_i, R_s, R_v, R_i, C_s, C_v, C_i = ret.T\n",
    "\n",
    "# Plot the data on separate curves. \n",
    "fig = plt.figure(facecolor='w', figsize=(10,10))\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, S/N, 'blue', alpha=0.5, lw=2, label='Susceptible')\n",
    "ax.plot(t, E_s/N, 'purple', alpha=0.5, lw=2, label= 'Susceptible Exposed')\n",
    "ax.plot(t, I_s/N, 'red', alpha=0.5, lw=2, label= 'Susceptible Symptomatic')\n",
    "ax.plot(t, A_s/N, 'orange', alpha = 0.5, lw=2, label = 'Susceptible Asymptomatic')\n",
    "ax.plot(t, R_s/N, 'green', alpha = 0.5, lw=2, label = 'Susceptible Recovered')\n",
    "ax.plot(t, V/N, 'deeppink', alpha=0.5, lw=2,linestyle = \"--\", label='Vaccinated')\n",
    "ax.plot(t, E_v/N, 'purple', alpha=0.5, lw=2, linestyle = \"--\", label= 'Vaccinated Exposed')\n",
    "ax.plot(t, I_v/N, 'red', alpha=0.5, lw=2, label= 'Vaccinated Symptomatic')\n",
    "ax.plot(t, A_v/N, 'orange', alpha = 0.5, lw=2, linestyle = \"--\", label = 'Vaccinated Asymptomatic')\n",
    "ax.plot(t, R_v/N, 'green', alpha = 0.5, lw=2, linestyle = \"--\", label = 'Vaccinated Recovered')\n",
    "ax.plot(t, S_i/N, 'blue', alpha=0.5, lw=2, linestyle = \"dotted\", label='Susceptible with immunity')\n",
    "ax.plot(t, E_i/N, 'purple', alpha=0.5, lw=2, linestyle = \"dotted\", label= 'Immunity Exposed')\n",
    "ax.plot(t, I_i/N, 'red', alpha=0.5, lw=2, linestyle = \"dotted\", label= 'Immunity Symptomatic')\n",
    "ax.plot(t, A_i/N, 'orange', alpha = 0.5, lw=2, linestyle = \"dotted\", label = 'Immunity Asymptomatic')\n",
    "ax.plot(t, R_i/N, 'green', alpha = 0.5, lw=2, linestyle = \"dotted\", label = 'Immunity Recovered')\n",
    "ax.set_xlabel('Time /days')\n",
    "ax.set_ylabel('Proportion of Population')\n",
    "ax.set_ylim(0,1.2)\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "plt.show()\n",
    "\n",
    "fig = plt.figure(facecolor='w', figsize=(10,10))\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, S/N, 'blue', alpha=0.5, lw=2, label='Susceptible')\n",
    "ax.plot(t, E_s/N, 'purple', alpha=0.5, lw=2, label= 'Susceptible Exposed')\n",
    "ax.plot(t, I_s/N, 'red', alpha=0.5, lw=2, label= 'Susceptible Symptomatic')\n",
    "ax.plot(t, A_s/N, 'orange', alpha = 0.5, lw=2, label = 'Susceptible Asymptomatic')\n",
    "ax.plot(t, R_s/N, 'green', alpha = 0.5, lw=2, label = 'Susceptible Recovered')\n",
    "ax.set_xlabel('Time /days')\n",
    "ax.set_ylabel('Proportion of Population')\n",
    "ax.set_ylim(0,1.2)\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "plt.show()\n",
    "\n",
    "fig = plt.figure(facecolor='w', figsize=(10,10))\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, V/N, 'deeppink', alpha=0.5, lw=2,linestyle = \"--\", label='Vaccinated')\n",
    "ax.plot(t, E_v/N, 'purple', alpha=0.5, lw=2, linestyle = \"--\", label= 'Vaccinated Exposed')\n",
    "ax.plot(t, I_v/N, 'red', alpha=0.5, lw=2, label= 'Vaccinated Symptomatic')\n",
    "ax.plot(t, A_v/N, 'orange', alpha = 0.5, lw=2, linestyle = \"--\", label = 'Vaccinated Asymptomatic')\n",
    "ax.plot(t, R_v/N, 'green', alpha = 0.5, lw=2, linestyle = \"--\", label = 'Vaccinated Recovered')\n",
    "ax.set_xlabel('Time /days')\n",
    "ax.set_ylabel('Proportion of Population')\n",
    "ax.set_ylim(0,1.2)\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "plt.show()\n",
    "\n",
    "fig = plt.figure(facecolor='w', figsize=(10,10))\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, S_i/N, 'blue', alpha=0.5, lw=2, linestyle = \"dotted\", label='Susceptible with immunity')\n",
    "ax.plot(t, E_i/N, 'purple', alpha=0.5, lw=2, linestyle = \"dotted\", label= 'Immunity Exposed')\n",
    "ax.plot(t, I_i/N, 'red', alpha=0.5, lw=2, linestyle = \"dotted\", label= 'Immunity Symptomatic')\n",
    "ax.plot(t, A_i/N, 'orange', alpha = 0.5, lw=2, linestyle = \"dotted\", label = 'Immunity Asymptomatic')\n",
    "ax.plot(t, R_i/N, 'green', alpha = 0.5, lw=2, linestyle = \"dotted\", label = 'Immunity Recovered')\n",
    "ax.set_xlabel('Time /days')\n",
    "ax.set_ylabel('Proportion of Population')\n",
    "ax.set_ylim(0,1.2)\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "plt.show()\n",
    "\n",
    "fig = plt.figure(facecolor='w', figsize=(10,10))\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, C_s/N, 'red', alpha=0.5, lw=2, label='Cumulative naive infections')\n",
    "ax.plot(t, C_v/N, 'red', alpha=0.5, lw=2, linestyle = \"--\", label= 'Cumulative vaccinated infections')\n",
    "ax.plot(t, C_i/N, 'red', alpha=0.5, lw=2, linestyle = \"dotted\", label= 'Cumulative prior immunity infections')\n",
    "ax.set_xlabel('Time /days')\n",
    "ax.set_ylabel('Proportion of Population')\n",
    "ax.set_ylim(0,1)\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "for var in (C_s, C_v, C_i):\n",
    "    ax.annotate('%0.2f' % var.max(), xy=(1, var.max()/N ), xytext=(0, 0), \n",
    "                 xycoords=('axes fraction', 'data'), textcoords='offset points')\n",
    "plt.show()"
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
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  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
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  {
   "cell_type": "code",
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