Coexistence of a diffusive predator-prey model with Holling type-II functional response and density dependent mortality

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Zhou, Jun¹  Mu, Chunlai² 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China

关键词: Functional response;    Density dependent mortality;    Coexistence;    Local stability;    Global stability;    Pattern formation;   

DOI  :  10.1016/j.jmaa.2011.07.027

来源: Elsevier

【 摘 要 】

In this paper, we consider a two competitor-one prey diffusive model in which both competitors exhibit Holling type-II functional response and one of the competitors exhibits density dependent mortality rate. First, we study the local and global existence of strong solution by using the C-0 analytic semigroup. Then, we consider the local and global stability of the positive constant equilibrium by using the linearization method and Laypunov functional method, respectively. Furthermore, we derive some results for the existence and non-existence of non-constant stationary solutions when the diffusion rate of a certain species is small or large. The existence of non-constant stationary solutions implies the possibility of pattern formation in this system. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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