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Permanence and extinction of a periodic predator - prey delay system with functional response and stage structure for prey. (English) Zbl 1109.92061

Summary: We consider a periodic coefficients predator – prey system with functional response and infinite delay, in which the prey has a history that takes them through two stages, immature and mature. Sufficient conditions which guarantee the permanence and extinction of the system are obtained. Finally, we give an example.

MSC:

92D40 Ecology
34K20 Stability theory of functional-differential equations
34K13 Periodic solutions to functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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