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A delayed ratio-dependent predator-prey system with stage-structured and impulsive stocking on predator

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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:International Journal of Pure and Applied Mathematics

Included Journals:Scopus

Volume:55

Issue:4

Page Number:513-526

ISSN No.:13118080

Abstract:In this paper, a delayed ratio-dependent Holling-III predator-prey system with stage-structured and impulsive stocking on predator and continuous harvesting on prey is considered. We obtain sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system. These results show that the behavior of impulsive stocking on predator 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 show that the biological resource management is effective and reliable. ? 2009 Academie Publications.

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