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Dynamics of a Discrete Predator-Prey System with Beddington-DeAngelis Function Response
Science College, Hunan Agricultural University, Changsha, China
Science College, Hunan Agricultural University, Changsha, China
Science College, Hunan Agricultural University, Changsha, China
- 1 Science College, Hunan Agricultural University, Changsha, China
- 2 Science College, Hunan Agricultural University, Changsha, China
- 3 Science College, Hunan Agricultural University, Changsha, China
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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
KeywordsDiscreteBeddington-DeAngelis Functional ResponsePermanenceGlobal Attractivity
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