subploting different parameter values for ode45 predation model in matlab

To subplot different parameter values for the ode45 predation model in MATLAB, you can define the parameters as a vector and loop through each value, plotting the results on a separate subplot for each parameter value. Here's an example code snippet:

main.m
% Define parameter values as a vector
params = [0.1, 0.2, 0.3];

% Define time span
tspan = [0, 50];

% Define initial conditions
y0 = [10, 5];

% Loop through each parameter value
for i = 1:length(params)
    % Define anonymous function for the ODE system
    dydt = @(t,y) [params(i)*y(1) - 0.01*y(1)*y(2); 0.005*y(1)*y(2) - 0.2*y(2)];
    
    % Solve the ODE system
    [t,y] = ode45(dydt, tspan, y0);
    
    % Create a new subplot for each parameter value
    subplot(length(params), 1, i);
    
    % Plot the results
    plot(t, y(:,1), t, y(:,2));
    legend('Prey', 'Predator');
    title(['Parameter value = ', num2str(params(i))]);
end
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This code will generate a vertical stack of subplots, with each subplot showing the time evolution of the prey and predator populations for a different parameter value.

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