Sufficient and necessary condition for the permanence of periodic predator‐prey system | Zendy

Jinǵan Cui | Zendy; Xinyu Song | Zendy

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Sufficient and necessary condition for the permanence of periodic predator‐prey system

Author(s) -

Jinǵan Cui,

Xinyu Song

Publication year - 2004

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/s016117120430133x

Subject(s) - mathematics , predation , predator , control theory (sociology) , functional response , ecology , computer science , biology , artificial intelligence , control (management)

We consider the permanence of a periodic predator-prey system, where the prey disperse in a two-patch environment. We assume the Volterra within-patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis. Our work improves previous relevant results

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