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Global stability of the steady states of an SIS epidemic reaction–diffusion model

✍ Scribed by Rui Peng; Shengqiang Liu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
531 KB
Volume
71
Category
Article
ISSN
0362-546X

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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