Dynamics of a Discrete Predator-Prey System with Beddington-DeAngelis Function Response

Qibin Fang, Xiaoping Li, Meiyu Cao

Science College, Hunan Agricultural University, Changsha, China.

DOI: 10.4236/am.2012.34060                

Abstract

This paper discusses the dynamic behaviors of a discrete predator-prey system with Beddington-DeAngelis function response. We first show that under some suitable assumption, the system is permanent. Furthermore, by constructing a suitable Lyapunov function, a sufficient condition which guarantee the global attractivity of positive solutions of the system is established

Keywords

Discrete; Beddington-DeAngelis Functional Response; Permanence; Global Attractivity

Conflicts of Interest

The authors declare no conflicts of interest.

References

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