On a Generalized Discrete Ratio-Dependent Predator-Prey System | Zendy

Yong-Hong Fan | Zendy; Lin-Lin Wang | Zendy

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On a Generalized Discrete Ratio-Dependent Predator-Prey System

Author(s) -

Yong-Hong Fan,

Lin-Lin Wang

Publication year - 2009

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 - 10.1155/2009/653289

Subject(s) - verifiable secret sharing , bounded function , mathematics , functional response , monotonic function , comparison theorem , predation , discrete system , uniform boundedness , predator , pure mathematics , control theory (sociology) , computer science , mathematical analysis , ecology , algorithm , control (management) , biology , artificial intelligence , set (abstract data type) , programming language

Verifiable criteria are established for the permanence and existence of positive periodic solutions of a delayed discrete predator-prey model with monotonic functional response. It is shown that the conditions that ensure the permanence of this system are similar to those of its corresponding continuous system. And the investigations generalize some well-known results. In particular, a more acceptant method is given to study the bounded discrete systems rather than the comparison theorem

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