📄 popdemo.m
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echo off
% POPDEMO
% -------------- Population Demo ---------------
% This system models a population in which the number of
% members follows the law dm/dt = a * m - b * m * m.
% A is taken to represent a reproductive rate and b
% represents competition.
%
% 20 simulations will be run using different starting
% populations.
% Copyright (c) 1990-94 by The MathWorks, Inc.
clc
clg
hold off;
help popdemo
echo on
pause % Strike any key to continue.
axis([0,300,0,100]);
plot(0,0,300,100);
grid;
xlabel('Time');
ylabel('Population Size');
hold on;
echo on;
%
% This loop runs 20 simulations and plots the results.
for ind = 20:-1:1
initial_pop = ind * 5 + 1;
[t,x] = rk23('pops',300);
% use Runga-Kutta to simulate pops until t = 300.
plot(t,x);
end
% Different numbers in a and b will result in different
% final populations. You can change these values
% and select this demo from the menu again.
%
pause
% Select this window and strike any key to end this demo.
echo off;
hold off;
clc;
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