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H. Y. Li and Y. Takeuchi, “Dynamics of the Density Dependent Predator-Prey System with Beddington-DeAngelis Functional Response,” Journal of Mathematical Analysis and Application, Vol. 374, No. 4, 2011, pp. 644654. doi:10.1016/j.jmaa.2010.08.029

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