How do you code this set of discrete difference equations using for loop?

This is where ive got so far with it, but it doesnt seem to be changing the values of x,y and z
%Parameters -- Keep as constants for now.
d = 0.001;
%Parameters - Varying values of a, b and r
a=2;
b=2;
r=3;
%Initial conditions
x(1)=2;
y(1)=2;
z(1)=2;
for n=1:10
x(n+1)=x(n)+(d*a)*(x(n)-y(n));
y(n+1)=y(n)+(d*r)*(x(n)-z(n))*(x(n)-y(n));
z(n+1)=z(n)+(d*((x(n)*y(n))-(b*z(n))));
end
figure(1),
subplot(3,1,1), hold on
plot(x(n), n)
xlabel('n');
subplot(3,1,2), hold on
plot(y(n), n)
xlabel('n');
subplot(3,1,3), hold on
plot(z(n), n)
xlabel('n');

1 Comment

I think it's due to your initial condition. If you change the initial condition, like x(1) = 1, y(1) = 2, z(1) = 3, then they will change as n increases.

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Answers (1)

you need to create an array for x(n), y(n), z(n) to store the values

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Asked:

on 29 Nov 2018

Answered:

on 11 Nov 2020

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