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

Kaiyuan Liu | Zendy; Lansun Chen | Zendy

Open Access

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

Author(s) -

Kaiyuan Liu,

Lansun Chen

Publication year - 2007

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2007/86482

Subject(s) - predation , functional response , control theory (sociology) , stocking , predator , extinction (optical mineralogy) , comparison theorem , mathematics , bounded function , control (management) , ecology , computer science , mathematical analysis , biology , artificial intelligence , fishery , paleontology

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

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