On the behavior of certain turing system

 

J. Nee and H-S. Huang

 

Abstract:

 

We extend the generalized maximum principle of Lou and Ni [1] of elliptic equations to parabolic equations. By this result, we show that the solution of a Turing system has a global attractor provide the diffusion coefficient \(D\neq 0\) otherwise the solution blow-up in finite time.

 

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