Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales | Zendy

Xiaoquan Ding | Zendy; Hongyuan Liu | Zendy; Fengye Wang | Zendy

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Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales

Author(s) -

Xiaoquan Ding,

Hongyuan Liu,

Fengye Wang

Publication year - 2013

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 - 10.1155/2013/368176

Subject(s) - verifiable secret sharing , mathematics , coincidence , monotonic function , type (biology) , degree (music) , predation , functional response , predator , mathematical analysis , computer science , ecology , physics , biology , medicine , alternative medicine , set (abstract data type) , pathology , acoustics , programming language

This paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. In particular, our results improve and generalize some known ones

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