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

Yijie Meng; Shiwu Xiao

doi:10.4208/jpde.v27.n2.3

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

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Issue

Vol. 27 No. 2 (2014)

Section

Articles

How to Cite

Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response. (2014). Journal of Partial Differential Equations, 27(2), 125-135. https://doi.org/10.4208/jpde.v27.n2.3