+2354 Okay so I have these questions
With these answers
Now I don't entirely understand what's happening here.
I do understand part a) (but I included it to save you some calculations)
In part b) it is apparently true that an equilibrium solution is asymptotically stable if |λk|<1 ∀ k
where λk is an eigenvalue of the jacobian matrix. Even though intuitively this does seem to make sense, can someone explain this to me?
Then for part c), they say that the (c_1_-,c_1_-) equilibrium solution is asymptotically stable for all a>0 while in part b) it was stated that both equilibrium solutions for a=12,b=12 were not asymptotically stable. Perhaps I'm missing something here, but to me this appears as a contradiction.
Reinout 
+11912 oh reinout , i wish i could help u but the math is like " from another world from me " so i cant help ! but i can give u my very famous " all the bast " lol! so i hope u succed in ur search for help ! 
+33654 When it says for all a>0, it has already specified that a must be less than 1/4, so I think it means in the range 0<a<1/4. I might be wrong about this as, for the (r,s) solution it explicitly gives the range as 0 to 3/16.
I calculated the iterates for starting values of (0, 0) and a few different a values (b = 1/2 in all cases). They look like this:
Where succesive iterates are not converging they are clearly oscillating between two values.
Hope this helps rather than confuses!
(Edited to upload the correct figures!)
+893 Hi Reinout
Are you still interested in this question or have you got it sorted ?
