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Global asymptotic stability of a ratio dependent predator prey system with diffusion and delay

✍ Scribed by Cosme Duque; Marcos Lizana

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
188 KB
Volume
56
Category
Article
ISSN
0031-5303

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πŸ“œ SIMILAR VOLUMES

Global Qualitative Analysis for a Ratio-
Global Qualitative Analysis for a Ratio-Dependent Predator–Prey Model with Delay
✍ Sanyi Tang; Lansun Chen πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 147 KB

A ratio-dependent predator-prey model with time lag for predator is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence, and stability are analyzed. We note that for a ratio-dependent system local asymptotic st

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 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