Y.H. Fan, W.T. Li, “Permanence for a Delayed Discrete Ratio-Dependent Predator-Prey System with Holling Type Functional Response,” Journal of Mathematical Analysis, 009, Article ID 323065.

has been cited by the following article:

• 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