QUALITATIVE ANALYSIS OF A DIFFUSIVE FOOD WEB CONSISTING OF A PREY AND TWO PREDATORS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 50, Issue 6, 2013, pp.1827-1840
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2013.50.6.1827

Title & Authors

QUALITATIVE ANALYSIS OF A DIFFUSIVE FOOD WEB CONSISTING OF A PREY AND TWO PREDATORS

Shi, Hong-Bo;

Shi, Hong-Bo;

Abstract

This paper is concerned with the positive steady states of a diffusive Holling type II predator-prey system, in which two predators and one prey are involved. Under homogeneous Neumann boundary conditions, the local and global asymptotic stability of the spatially homogeneous positive steady state are discussed. Moreover, the large diffusion of predator is considered by proving the nonexistence of non-constant positive steady states, which gives some descriptions of the effect of diffusion on the pattern formation.

Keywords

predator-prey system;positive steady state;large diffusion;Holling II type functional response;local/global asymptotic stability;

Language

English

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