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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "The SIR model for disease\n", "\n", "![image.png](attachment:72880082-1dee-49bc-9690-0990d4362cea.png)\n", "\n", "$$ \\frac{dS}{dt} = \\left(-\\frac{\\beta}{N}\\right) \\cdot SI \\hspace{20mm} \\frac{dI}{dt} = \\left(\\frac{\\beta}{N}\\right) \\cdot SI - \\left(\\gamma\\right) \\cdot I \\hspace{20mm} \\frac{dR}{dt} = (\\gamma) \\cdot I $$\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import odeint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let $A = (S, I, R)$. Need to define function that takes in $A$ and $t$ and returns $dA/dt = (dS/dt, dI/dt, dR/dt)$" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "def dAdt(A, t, beta, gamma, N):\n", " S= A[0]\n", " I = A[1]\n", " R = A[2]\n", " return [\n", " -beta/N * S * I,\n", " beta/N * S * I - gamma * I,\n", " gamma*I\n", " ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the model equations for \n", "* $\\gamma = 1/10~\\mathrm{ days^{-1}}$ \n", "* $N=1.1\\times10^7$\n", "* $\\beta = 0.39~$days$^{-1}$\n", "* $(S_0, I_0, R_0) = (N-I_0, 574,0)$ \n", "\n", "These are the parameters that describe approximately the situation of the Corona virus infection in China, focussing on the city of Wuhan, on January 22 2020." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "times = np.arange(0, 100, 1)\n", "gamma = 1/10\n", "N = 1.1e7\n", "beta = 0.39\n", "S0, I0, R0 = N-574, 574, 0\n", "sol = odeint(dAdt, y0=[S0, I0, R0], t=times, args=(beta, gamma, N))" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "S = sol.T[0]\n", "I = sol.T[1]\n", "R = sol.T[2]" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(times, S)\n", "plt.plot(times, I)\n", "plt.plot(times, R)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rate of hospitalizations is 5\\% of $dR/dt$ and people stay in the hospital for 3 days on average. Find the number of people in the hosptial as a function of time." ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "ha = 0.05 * gamma * I" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "h = ha + np.insert(ha, 0, np.zeros(1))[:-1] + np.insert(ha, 0, np.zeros(2))[:-2]" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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