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On a generalized discrete ratio-dependent predator-prey system. (English) Zbl 1178.39021
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:
39A23 Periodic solutions of difference equations
39A12 Discrete version of topics in analysis
92D25 Population dynamics (general)
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