Discrete Population Growth Model Plot
显示 更早的评论
Use the detailed, discrete model for population growth that follows a variation of the logistic law:
with 
. Calculate the population after 
iterations and present a graph of the population evolution."
. Calculate the population after iterations and present a graph of the population evolution."Let me know if you'd like assistance calculating or graphing the population evolution.
I've written a MATLAB script to simulate a discrete population growth model that follows a variation of the logistic law. My objective is to calculate and visualize the population evolution over time given specific parameters. Here's the code I currently have:
%parameters
N=150;
r=3;
q=0.05;
l=0.1;
H=1;
a=1.5;
t=1;
P(1)=1;
for i=2:N;
P(i)=r*P(i-1)-q*P(i-1)^2-l*(H+P(i-1)^a);
t=t+1;
end;
% Plot population evolution
figure;
plot(P)
P(N)
xlabel('i')
ylabel('P(i)')
title('Population Evolution Over Time');
grid on;
Although this code works, I'd like to optimize it or make improvements. Are there ways to enhance the efficiency or clarity of the code? Any suggestions for improving the logic, structure, or visual presentation would also be greatly appreciated.
Thanks in advance for your help!
1 个评论
Maybe it's interesting to additionally compute steady-state for P:
r=3;
q=0.05;
l=0.1;
H=1;
a=1.5;
fun = @(P)P-(r*P-q*P^2-l*(H+P^a));
fzero(fun,30)
回答（0 个）
类别
在 帮助中心 和 File Exchange 中查找有关 Calculus 的更多信息
2024-5-7
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
