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Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays. (English) Zbl 1081.39007

For a discrete predator-prey system with delays the existence of a positive periodic solution is proved under certain conditions. A positive solution is shown as globally asymptotically stable when all delays are zero.

MSC:

39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
92D25 Population dynamics (general)
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