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Non-constant positive steady-states of a diffusive predator–prey system in homogeneous environment

✍ Scribed by Wonlyul Ko; Kimun Ryu


Book ID
108175589
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
152 KB
Volume
327
Category
Article
ISSN
0022-247X

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Global asymptotic stability of positive
✍ 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