Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System | Zendy

Zhou Zhe-yan | Zendy

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Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System

Author(s) -

Zhou Zhe-yan

Publication year - 2011

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 - 10.1155/2011/835321

Subject(s) - competition (biology) , predation , predator , mathematics , stability (learning theory) , control theory (sociology) , ecology , computer science , biology , artificial intelligence , control (management) , machine learning

We propose a discrete multispecies cooperation and competition predator-prey systems. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained

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