create a for loop in a logistical population growth model in matlab

Here's an example code snippet in MATLAB that implements a for loop for a logistical population growth model:

main.m
% set up parameters
r = 0.1;     % growth rate
K = 1000;    % carrying capacity
N0 = 100;    % initial population size
tmax = 50;   % simulation time

% initialize variables
N = zeros(1, tmax+1);
N(1) = N0;

% simulate population growth
for t = 1:tmax
    dN = r * N(t) * (1 - N(t)/K);  % compute change in population
    N(t+1) = N(t) + dN;            % update population size
end

% plot results
time = 0:tmax;
plot(time, N);
xlabel('Time');
ylabel('Population size');
title('Logistical population growth model');
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This code sets up the parameters of the model (the growth rate, carrying capacity, initial population size, and simulation time), initializes the population size to the initial value, and then uses a for loop to simulate population growth over time. The change in population size at each time point is computed using the logistical growth equation, and the population size is updated accordingly. After the loop, the results are plotted using MATLAB's built-in plot function.