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Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system

✍ Scribed by MingXin Wang; XuBo Wang


Book ID
107347891
Publisher
SP Science China Press
Year
2009
Tongue
English
Weight
261 KB
Volume
52
Category
Article
ISSN
1674-7283

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πŸ“œ SIMILAR VOLUMES


Global asymptotic stability of positive
✍ Mingxin Wang; Peter Y.H. Pang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 223 KB

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