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The effect of stage-structure on the permanence of a predator-prey system with time delay. (English) Zbl 1117.92058

Summary: A delayed predator-prey system with stage-structure for the prey and time delay due to the gestation of the predator is investigated. By using an iteration technique and comparison arguments, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and the two boundary equilibria of the proposed model. Numerical simulations are presented to illustrate the main results.

MSC:

92D40 Ecology
65C20 Probabilistic models, generic numerical methods in probability and statistics
34K20 Stability theory of functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
92D25 Population dynamics (general)
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References:

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