subploting a simple ode45 predation model with global parametersin matlab in matlab

Assuming you have already defined the system of ODEs of a simple predation model with two species and global parameters, you can subplot the population dynamics of the two species over time as follows:

main.m
% Define global parameters
global r1 r2 a b

r1 = 0.5; % Growth rate of species 1
r2 = 0.3; % Growth rate of species 2
a = 0.2;  % Predation rate
b = 0.5;  % Conversion efficiency

% Define the system of ODEs
dydt = @(t,y) [r1*y(1)*(1 - y(1)/K1) - a*y(1)*y(2); 
               r2*y(2)*(1 - y(2)/K2) + b*a*y(1)*y(2)];

% Define initial conditions and time span
y0 = [50; 100]; % Initial population sizes
tspan = [0 100]; % Time span of simulation

% Solve the system of ODEs using ode45
[t,y] = ode45(dydt, tspan, y0);

% Plot the population dynamics of the two species over time
subplot(2,1,1)
plot(t, y(:,1), 'r', 'LineWidth', 2)
xlabel('Time')
ylabel('Population size')
title('Population dynamics of species 1')

subplot(2,1,2)
plot(t, y(:,2), 'b', 'LineWidth', 2)
xlabel('Time')
ylabel('Population size')
title('Population dynamics of species 2')
850 chars
32 lines

In this example, the subplot function is used to create two subplots in a single figure window, one for each species. The plot function is then used to plot the population dynamics of each species over time. The xlabel, ylabel, and title functions are used to label the axes and title each subplot.

gistlibby LogSnag