plot a logistical population growth model with different value outputs on the same figure in matlab

To plot a logistical population growth model with different value outputs on the same figure in Matlab, you can use the plot function. Here's an example code snippet:

main.m
% Define model parameters
r = 0.1; % growth rate
K = 1000; % carrying capacity

% Define range of population values
populations = 0:10:1000;

% Calculate logistic growth for different initial population values
initial_pops = [10, 100, 500];
for i = 1:length(initial_pops)
    P0 = initial_pops(i);
    P = K ./ (1 + ((K-P0)/P0) .* exp(-r .* populations)); % logistic model equation
    plot(populations, P);
    hold on;
end

% Add plot labels and legend
xlabel('Time');
ylabel('Population');
title('Logistical Population Growth Model');
legend('Initial Population = 10', 'Initial Population = 100', 'Initial Population = 500');
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In this code snippet, we first define the model parameters r (the growth rate) and K (the carrying capacity). We also define a range of population values to plot the model over.

Then, we loop through different initial population values (10, 100, and 500 in this example) and calculate the logistic population growth model equation for each value using the P = K ./ (1 + ((K-P0)/P0) .* exp(-r .* populations)) equation.

We then use the plot function to plot each set of population values on the same figure, using hold on to ensure that each new plot is added to the same figure rather than starting a new one.

Finally, we add plot labels and a legend using the xlabel, ylabel, title, and legend functions. The resulting plot will show the population growth curves for each initial population value on the same figure.