Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response | Zendy

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Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response

Author(s) -

Qiong Liu

Publication year - 2008

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 - 10.1155/2008/706154

Subject(s) - uniqueness , functional response , mathematics , persistence (discontinuity) , diffusion , set (abstract data type) , stability theory , mathematical analysis , type (biology) , competition (biology) , control theory (sociology) , predation , physics , computer science , predator , nonlinear system , control (management) , thermodynamics , paleontology , ecology , geotechnical engineering , quantum mechanics , artificial intelligence , engineering , biology , programming language

A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances, a set of sufficient conditions that assure the existence and uniqueness of the positive almost periodic solution which is globally asymptotically stable

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