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On a nonautonomous ratio-dependent predator-prey model with time delay and diffusion. (English) Zbl 1174.34071

Summary: Sufficient conditions which ensure the permanence and existence of positive periodic solution, as well as the extinction of the predator species of a delayed ratio-dependent predator-prey model with diffusion are obtained. Our results supplement some established results.

MSC:

34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K13 Periodic solutions to functional-differential equations
92D25 Population dynamics (general)
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