Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays | Zendy

Hongying Lu | Zendy; Weiguo Wang | Zendy

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Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays

Author(s) -

Hongying Lu,

Weiguo Wang

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 - 10.1155/2011/380279

Subject(s) - uniqueness , mathematics , type (biology) , stability theory , stability (learning theory) , exponential stability , chain (unit) , control theory (sociology) , mathematical analysis , computer science , nonlinear system , control (management) , physics , ecology , quantum mechanics , machine learning , astronomy , artificial intelligence , biology

A nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive periodic solution of the system. The conditions for the permanence, global stability of system, and the existence, uniqueness of positive periodic solution depend on delays; so, time delays are profitless

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