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The existence of periodic solution of a two-patches predator-prey dispersion delay models with functional response. (English) Zbl 1059.34047

The authors consider a delayed periodic and diffusive food-chain system with functional response of type Holling-II, where there are state-dependent delays in the process of translating prey into predator. By using the standard techniques of coincidence degree theory, the authors obtain sufficient conditions for the existence of a periodic solution of the system.

MSC:

34K13 Periodic solutions to functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
92D25 Population dynamics (general)
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