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A stage-structured predator-prey model with disturbing pulse and time delays. (English) Zbl 1167.34372

Summary: We propose a stage-structured predator-prey model with disturbing pulse and time delays and obtain the sufficient conditions for the global attractivity of predator-eradiation periodic solution and permanence of the system. We also show that time delay, pulse catching rate and the period of pulsing can affect the dynamics of the system.

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
92D25 Population dynamics (general)
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