Consider the predator-prey model X(n+1)=a*X(n)(1-X(n))-b*X(n)*Y(n), Y(n+1)=c*X(n)*Y(n)-d*Y(n)
- Plot the solution trajectory for the fixed values of model parameters and initial values
- Find the fixed points and determine its nature (stability)
- Draw the phase plane diagram by varying
a
I faced issue with problem 2 and 3. I try with this,
Solving these systems, we get, x=(1+gamma)/delta, y=0. Now, I guess I need to find the eigen values for this point to predict the stability.
Is this the correct approach? How can I do these calculations in matlab? I tried with syms but no progress.
eqns = [x==a*x*(1-x)-b*x*y;y==c*x*y-d*y];
solve(eqns,[x y])
[ empty sym ]