TITLE:
Dynamics of a Discrete Predator-Prey System with Beddington-DeAngelis Function Response
AUTHORS:
Qibin Fang, Xiaoping Li, Meiyu Cao
KEYWORDS:
Discrete; Beddington-DeAngelis Functional Response; Permanence; Global Attractivity
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.4,
April
27,
2012
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