Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model | Zendy

Tiejun Zhou | Zendy; Xiaolan Zhang | Zendy; Min Wang | Zendy

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Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model

Author(s) -

Tiejun Zhou,

Xiaolan Zhang,

Min Wang

Publication year - 2012

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 - 10.1155/2012/713503

Subject(s) - coincidence , functional response , predation , mathematics , degree (music) , discrete time and continuous time , predator , continuation , computer science , statistics , physics , ecology , medicine , alternative medicine , pathology , acoustics , biology , programming language

A delayed ratio-dependent predator-prey discrete-time model with nonmonotone functional response is investigated in this paper. By using the continuation theorem of Mawhins coincidence degree theory, some new sufficient conditions are obtained for the existence of multiple positive periodic solutions of the discrete model. An example is given to illustrate the feasibility of the obtained result. © 2012 Tiejun Zhou et al.

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