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Global asymptotical stability of the positive equilibrium of the Lotka–Volterra prey–predator model incorporating a constant number of prey refuges

✍ Scribed by Fengde Chen; Zhaozhi Ma; Huiying Zhang

Book ID
119334012
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
182 KB
Volume
13
Category
Article
ISSN
1468-1218

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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