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Positive solutions of a diffusive prey–predator model in a heterogeneous environment

✍ Scribed by Rui Peng; Mingxin Wang; Ming Yang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
258 KB
Volume
46
Category
Article
ISSN
0895-7177

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📜 SIMILAR VOLUMES

Global asymptotic stability of positive
Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey–predator model
✍ Mingxin Wang; Peter Y.H. Pang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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