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Periodic solution of a delayed ratio-dependent predator-prey model with monotonic functional response and impulse. (English) Zbl 1166.34043
The authors incorporate impulses into a delayed ratio-dependent predator-prey model with monotonic functional response. By using the continuation theorem of coincidence degree theory, sufficient conditions on the existence of at least one periodic solution are established.
MSC:
34K60Qualitative investigation and simulation of models
34K13Periodic solutions of functional differential equations
34K45Functional-differential equations with impulses
92D25Population dynamics (general)