Harvesting Control for a Stage-Structured Predator-Prey Model with Ivlev's Functional Response and Impulsive Stocking on Prey

Kaiyuan Liu and Lansun Chen

Discrete Dynamics in Nature and Society, 2007, vol. 2007, 1-15

Abstract:

We investigate a delayed stage-structured Ivlev's functional response predator-prey model with impulsive stocking on prey and continuous harvesting on predator. Sufficient conditions of the global attractivity of predator-extinction periodic solution and the permanence of the system are obtained. These results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for the biological resource management and enrich the theory of impulsive delay differential equations.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:086482

DOI: 10.1155/2007/86482

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