Can you just re-check your equation...
Nearly all pred-prey models I've used would be
I need to state the type of each point of equilibrium of the for the following system of ODE:
y'1= y2*(y2-1)
y'2= -y1*(y1-1)
I also need to draw the phase portrait but I understand how to do that once I can figure out how to solve this. I am unsure of how to do this so any help would be appreciated
Lol all those 'other example' tire you out..?
You'll get 4 critical points.
, , , .
The Jacobian is the matrix...
We call your equations...
Ah hell that keeps coming out tiny, top line is partial derivatives of f with respect to then .
bottom line is partial derivatives of g with respect to then .
For your system its...
Then sub in each critical point one at a time.
Take (0,0), your matrix becomes...
Now find the eigenvalues of this. After that you can classify what the critical point is depending on what your eigenvalues are. Look that up on the net.