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
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Q. Fang, X. Li and M. Cao, "Dynamics of a Discrete Predator-Prey System with Beddington-DeAngelis Function Response," Applied Mathematics, Vol. 3 No. 4, 2012, pp. 389-394. doi: 10.4236/am.2012.34060.
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