Hi,
The following example code can help you solve the logistic growth equation for different values of time t, given the carrying capacity K, the constant A, and the growth rate r. It also plots the population P over time.
% Define constants
K = 1704885; % Carrying capacity
A = 0.0122; % Constant
r = 0.1; % Growth rate (you can adjust this value as needed)
% Define the time vector
t = linspace(0, 100, 1000); % Time from 0 to 100 in 1000 steps
% Calculate the population P at each time t
P = (K * A .* exp(r .* t)) ./ (1 + A .* exp(r .* t));
% Plot the solution
figure;
plot(t, P, 'b-', 'LineWidth', 2);
xlabel('Time');
ylabel('Population');
title('Logistic Growth');
grid on;
To solve for different values of r, you can adjust the value of r in the example and re-run it. I hope the information provided above is helpful.
