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Zbl 1178.39021
Fan, Yong-Hong; Wang, Lin-Lin
On a generalized discrete ratio-dependent predator-prey system. (English)
[J] Discrete Dyn. Nat. Soc. 2009, Article ID 653289, 22 p. (2009). ISSN 1026-0226; ISSN 1607-887X/e

Summary: Verifiable criteria are established for the permanence and existence of positive periodic solutions of a delayed discrete predator-prey model with monotonic functional response. It is shown that the conditions that ensure the permanence of this system are similar to those of its corresponding continuous system. The investigations generalize some well-known results. In particular, a more acceptant method is given to study the bounded discrete systems rather than the comparison theorem.

MSC 2000:: *39A23
39A12 Discrete version of topics in analysis
92D25 Population dynamics

Keywords: permanence; positive periodic solutions; delayed discrete predator-prey model

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