subploting a simple ode45 predation model with global parametersb in matlab

Here is an example code to subplot a simple ODE45 predation model with global parameters in MATLAB:

main.m
% Define global parameters
global r_a r_b a b

% Initialize parameter values
r_a = 1.5;
r_b = 0.5;
a = 0.6;
b = 0.3;

% Define the ODE system
f1 = @(t,x) r_a*x(1)*(1 - x(1)/a) - x(1)*x(2)/(1 + x(1)^2);
f2 = @(t,x) r_b*x(2)*(1 - x(2)/b) + x(1)*x(2)/(1 + x(1)^2);

% Define the time interval
tspan = [0 20];

% Define the initial conditions
x0 = [0.5; 0.5];

% Solve the ODE system using ODE45 and plot the results
[t,x] = ode45(f1, tspan, x0);
subplot(2,1,1)
plot(t, x(:,1), 'b', 'LineWidth', 1.5)
xlabel('Time')
ylabel('Prey Population')
hold on

[t,x] = ode45(f2, tspan, x0);
subplot(2,1,2)
plot(t, x(:,2), 'r', 'LineWidth', 1.5)
xlabel('Time')
ylabel('Predator Population')
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In this code, we define the global parameters r_a, r_b, a, and b, and initialize their values. We then define the ODE system with the functions f1 and f2. We specify the time interval as tspan and the initial conditions as x0. We use the ode45 solver to solve the ODE system for each function and plot the results using the subplot function to create two subplots, one for the prey population and one for the predator population.

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