Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response

Authors

  • Yijie Meng School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangfan 441053, China
  • Shiwu Xiao School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangfan 441053, China

DOI:

https://doi.org/10.4208/jpde.v27.n2.3

Keywords:

Predator-prey diffusion system;asymptotic behavior;Beddington-DeAngelis function

Abstract

In this paper, we study a class of reaction-diffusion systemswith Beddington-DeAngelis function response. The global asymptotic convergence is established by using the comparison principle and the method of monotone iterations, which is via successive improvement of upper-lower solutions function.

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Published

2014-06-10

Issue

Vol. 27 No. 2 (2014)

Section

Articles