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Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey–predator model

✍ Scribed by Mingxin Wang; Peter Y.H. Pang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
223 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work, we study a ratio-dependent prey-predator model with diffusion and homogeneous Neumann boundary condition. We prove that the unique positive constant steady state is locally and uniformly stable, and is globally asymptotically stable under some assumptions. The proof uses the iteration method.

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