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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.

34K20Stability theory of functional-differential equations
34K13Periodic solutions of functional differential equations
34K60Qualitative investigation and simulation of models
Full Text: DOI
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