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Topic: Logistic equation with delay
Replies: 8   Last Post: Mar 24, 2014 3:42 AM

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Sankar

Posts: 4
Registered: 3/20/14
Logistic equation with delay
Posted: Mar 20, 2014 11:26 PM
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I am trying to solve a logistic equation with delay WITHOUT using dde23. So the delay is of the form: ddtN(t)=N(t)(a-bN(t-?t)),a>0,b>0

I have a function called logistic that looks like this:
function dN = logistic(t,N)
global a b;
dN = (a-N.*b)*N;

And another file that calls this function with ode45 like this:
global a b;
a = 4;
b = 1;
[t, N] = ode45('logistic', [0:.01:5], 10);


I think I understand how to write a for-loop to calculate the logistic equation with delay of 1 since I'm picking my ? to be 1; but I'm not getting the correct results. Here is the code:
S=zeros(501,1);
t=zeros(501,1);
S(1)=0;

for iterate=1:501
S(i) = S(i-1) + r*S(i-1)*(1-b*S(i-1))
end
plot(t,S)


Any ideas?



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