{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Problem sheet 3 - Contact Process" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The contact process in 1D has rates to flip the state of agent i given by\n", "$$\n", "c(\\eta ,\\eta^i )=\\eta (i)+\\lambda\\big( 1-\\eta (i)\\big)\\big(\\eta (i+1)+\\eta (i-1)\\big)\\ .\n", "$$\n", "We implement a rejection-based random sequential algorithm. The local rates at i are: 1 for recovery, $\\lambda$ for infection with one infected neighbour, and $2\\lambda$ for two infected neighbours." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import random\n", "import time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation:\n", "- Sample a sites $i$ uniformly, independently with rate $L*rmax=2\\lambda L$. \n", "- update site $i$ with correct probability\n", "\n", "I tried several versions and this seems to be the fastest Python can do, with drawing a list of random variables in advance using np.random. Still this is nowhere near the speed needed to do the homework...\n", "\n", "$\\Rightarrow$ do NOT use Python for more involved MC simulations" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15.604384422302246\n" ] } ], "source": [ "### Parameters ###\n", "\n", "runs=10 ## of simulations for average\n", "\n", "𝜆=1.68 #infection rate\n", "L=128 ## of agents\n", "\n", "tmax=10.*L #simulation time\n", "outs=200 ## of outputs in time\n", "deltat=tmax/outs #time between outputs\n", "\n", "rates=[0.,𝜆,2*𝜆,1.]\n", "rmax=max(rates)\n", "pr=[x/rmax for x in rates]\n", "\n", "wait=1./(L*rmax)\n", "\n", "#################\n", "\n", "N=np.zeros(outs, dtype=int) #initialize fraction of infecteds vector\n", "\n", "t0=time.time()\n", "\n", "for k in range(0, runs):\n", " randi=np.random.randint(128, size=int((tmax+2)*L*rmax)) #generate enough random indices\n", " randu=np.random.random_sample(int((tmax+2)*L*rmax)) #random uniforms\n", " rind=0 #index for rands\n", "\n", " 𝜂=np.ones((L,), dtype=int) #initialize current configuration\n", " nii=L ## of infecteds\n", " \n", " t=0.0\n", " nextout=deltat\n", " kout=0\n", " \n", " while (t" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (15,8))\n", "plt.plot(times,Nnorm,'o')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", " \n", "plt.xlabel('Time, $t$', fontsize = 20)\n", "plt.ylabel('$N_t /L$', fontsize= 20)\n", "\n", "plt.title(\"$N_t$ Number of individuals of each species \\n out of total population size L = {}\".format(L), fontsize = 20)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "data1 = np.loadtxt(\"contact_n512_l16.3.dat\", delimiter=' ')\n", "data2 = np.loadtxt(\"contact_n512_l16.4.dat\", delimiter=' ')\n", "data3 = np.loadtxt(\"contact_n512_l16.5.dat\", delimiter=' ')\n", "data4 = np.loadtxt(\"contact_n512_l16.6.dat\", delimiter=' ')\n", "data5 = np.loadtxt(\"contact_n512_l16.7.dat\", delimiter=' ')\n", "data6 = np.loadtxt(\"contact_n512_l16.8.dat\", delimiter=' ')" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "ydata1=sum([data1[k*200:(k+1)*200,0] for k in range(500)])/500/512;\n", "ydata2=sum([data2[k*200:(k+1)*200,0] for k in range(500)])/500/512;\n", "ydata3=sum([data3[k*200:(k+1)*200,0] for k in range(500)])/500/512;\n", "ydata4=sum([data4[k*200:(k+1)*200,0] for k in range(500)])/500/512;\n", "ydata5=sum([data5[k*200:(k+1)*200,0] for k in range(500)])/500/512;\n", "ydata6=sum([data6[k*200:(k+1)*200,0] for k in range(500)])/500/512;" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "times=data1[0:200,1];" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$N_t /L$')" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (15,8))\n", "plt.plot(times,ydata1)\n", "plt.plot(times,ydata2)\n", "plt.plot(times,ydata3)\n", "plt.plot(times,ydata4)\n", "plt.plot(times,ydata5)\n", "plt.plot(times,ydata6)\n", "\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", " \n", "plt.xlabel('Time, $t$', fontsize = 20)\n", "plt.ylabel('$N_t /L$', fontsize= 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mean-field Contact Process" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate total number of infecteds" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0\n" ] } ], "source": [ "### Parameters ###\n", "\n", "L=512 ## of agents\n", "lah=1.1\n", "𝜆=lah/L #infection rate\n", "\n", "tmax=10. #simulation time\n", "outs=500 ## of outputs in time\n", "deltat=tmax/outs #time between outputs\n", "\n", "\n", "#################\n", "\n", "N=np.ones(outs+1) #initialize output vector (normalized)\n", "state=50 #initialize current state \n", "N[0]=0.1\n", "\n", "tt=[1./(𝜆*(L-n)*n+n) for n in (np.arange(L)+1)]\n", "tt=np.concatenate(([0],tt))\n", "pm=[1./(𝜆*(L-m)+1.) for m in (np.arange(L)+1)]\n", "pm=np.concatenate(([0],pm))\n", "\n", "t0=time.time()\n", "\n", "t=0.0\n", "nextout=deltat\n", "kout=1\n", "\n", "while (t" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (15,8))\n", "plt.plot(times,N,'r')\n", "\n", "#plt.xscale('log')\n", "#plt.yscale('log')\n", " \n", "plt.xlabel('Time, $t$', fontsize = 20)\n", "plt.ylabel('$N_t /L$', fontsize= 20)\n", "\n", "#plt.title(\"$N_t $ Number of individuals of each species \\n out of total population size L = {}\".format(L), fontsize = 20)" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [], "source": [ "from scipy import stats\n", "from scipy.stats import poisson\n", "import sdeint" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [], "source": [ "def fX(x, t):\n", " return lah*(1-x)*x-x\n", "\n", "def gX(x, t):\n", " return np.sqrt((lah*(1-x)*x+x)/L)\n", "\n", "def gY(x, t):\n", " return 0.\n", "\n", "Xt = sdeint.itoint(fX, gX, 0.1, times)\n", "Yt = sdeint.itoint(fX, gY, 0.1, times)" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$N_t /L$')" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (15,8))\n", "plt.plot(times,Xt)\n", "plt.plot(times,N,'r')\n", "plt.plot(times,Yt,'k')\n", "\n", "#plt.xscale('log')\n", "#plt.yscale('log')\n", " \n", "plt.xlabel('Time, $t$', fontsize = 20)\n", "plt.ylabel('$N_t /L$', fontsize= 20)" ] }, { "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 }