Find values for 8 parameter ri, rm, di, dm, alpha, beta, S1 and S2. Use these value to compute A, B, C and D. Then after you get A, B, C and D go to system(*) and find steady state points you will get three points zeros, positive and negative.
A = ri - di - α,
B = ri/A
C = rm - dm - β
D = r.m/c
system (*) f(i, m) = Ai[1 - B(I + m)] + βm , g(i, m) = cm [1 - D(i + m)] + α i
1) Find the steady state point for (*)? You will get (0, 0), (i+, m+) , (i-, m+) Use the positive one to the following
You need to do only in positive one ignore zeros and negative.
Now you have value of A, B, C,D, i, m. then compute matrix J and S(attached).
The task is the value of parameter must satisfy 12 conditions if you can work on it to select values that make all condition hold.
Attachment:- question.rar