Title: Stability Analysis of a Diffusive Holling-III Type Predator-prey System Incorporating a Prey Refuge
Abstract: This paper is concerned with a diffusive predator-prey system with Holling Ⅲ type functional response incorporating a prey refuge under homogeneous Neumann boundary conditions.Firstly,the global attractivity of this system is discussed.Then,some sufficient conditions which are dependent on the prey refuge parameter for the local/global asymptotic stability of the positive constant steady state are given.In particular,the effect of diffusion on the stability of positive constant steady state is observed,that is,the large diffusion can make the positive constant steady state to be unstable.
Publication Year: 2012
Publication Date: 2012-01-01
Language: en
Type: article
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