{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Notebook for examples of intergation of systems of ODEs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Python initialization" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np #initialization\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import odeint\n", "import time # note the new module\n", " \n", "%matplotlib inline " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining the Predator-Prey growth function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def PredatorPrey(Population, t, r, a, b, d):\n", " \"\"\"\n", " this function returns the growth rate of two populations in the Predator-Prey model as a numpy array\n", " \n", " PredatorPrey(Population, t, args):\n", "\n", " Population -- an array of 2 numbers -- predator and prey current population sizes\n", " t -- time, unused\n", " (r, a, b, d) - the parameters of the population dynamics as described in the lecture\n", " \"\"\"\n", " \n", " dx = Population[0]*(r-a*Population[1])\n", " dy = Population[1]*(b*Population[0]-d)\n", " \n", " return np.array((dx,dy))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Integrator functions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def EulerSystem(xPrime, x0, t, args=()):\n", " \"\"\"\n", " Solves a system of ODEs using the Euler method.\n", " \n", " EulerSystem(xPrime,t0=0.0,x0=0.0,T=1.0,dt=0.1)\n", " xPrime -- the system to be integrated, returns the array of derivatives\n", " t -- the array of time points where the solution is needed; the zeroth entry corresponds to x0\n", " x0 -- initial condition\n", " \n", " Note that we do not ask for dt in this implementation of the algorithm\n", " \"\"\"\n", " \n", " x = np.zeros((t.size, x0.size))\n", " x[0,:] = x0\n", " for i in range(1, t.size):\n", " dt = t[i] - t[i-1]\n", " x[i,:] = x[i-1,:] + dt * xPrime(x[i-1,:],t[i-i],*args)\n", "\n", " return x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Constant intialization" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "dt = 1e-4 # time step\n", "SimulationTime = 10.0 # time to solve for\n", "P0 = np.array((1,1)) # initial population size\n", "r = 7.0 # intitalization of the 4 parameters\n", "a = 2.0\n", "b = 1.5\n", "d = 3.0 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running various integrators and comparing them" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Euler took 0.7283689975738525s to run.\n", "Odeint took 0.011303186416625977s to run.\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t=np.arange(0,SimulationTime,dt)\n", "\n", "tt1 = time.time() # initial time\n", "PEuler = EulerSystem(PredatorPrey, P0, t, args=(r,a,b,d))\n", "tt2 = time.time() # time after euler\n", "POdeInt = odeint(PredatorPrey, P0, t, args=(r,a,b,d))\n", "tt3 = time.time() # time after odeint\n", "\n", "\n", "print('Euler took ', tt2-tt1, 's to run.', sep='' )\n", "print('Odeint took ', tt3-tt2, 's to run.', sep='' )\n", "\n", "\n", "plt.plot(t, PEuler[:,0],label='Prey')\n", "plt.plot(t, PEuler[:,1],label='Predator')\n", "plt.legend()\n", "plt.title('Predator-Prey dynamics: EulerSystem solver')\n", "plt.xlabel('t')\n", "plt.ylabel('population size')\n", "plt.show()\n", "\n", "plt.plot(t, POdeInt[:,0],label='Prey')\n", "plt.plot(t, POdeInt[:,1],label='Predator')\n", "plt.legend()\n", "plt.title('Predator-Prey dynamics: odeint solver')\n", "plt.xlabel('t')\n", "plt.ylabel('population size')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "coords = np.linspace(0,5,11)\n", "X, Y = np.meshgrid (coords, coords)\n", "Vx = X\n", "Vy = Y\n", "Vx, Vy = PredatorPrey((X,Y), 0, r, a, b, d)\n", "plt.quiver(X,Y,Vx,Vy)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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