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Global existence of a positive periodic solution to a predator-prey system with Holling type II functional response. (Chinese. English summary) Zbl 0997.34063

Summary: By using a continuation theorem based on coincidence degree theory, the authors study the global existence of a positive periodic solution to a periodic predator-prey system with Holling-II-type functional response (i.e. Rosenzweig-MacArthur model). A set of easily verifiable sufficient conditions are obtained, that improve some known results.

MSC:

34K13 Periodic solutions to functional-differential equations
92D25 Population dynamics (general)
34C25 Periodic solutions to ordinary differential equations
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