Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions | Zendy

Changyou Wang | Zendy; Ruifang Wang | Zendy; Ming Yi | Zendy; Rui Li | Zendy

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Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions

Author(s) -

Changyou Wang,

Ruifang Wang,

Ming Yi,

Rui Li

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 - 10.1155/2011/783136

Subject(s) - mathematics , stability (learning theory) , fixed point theorem , chen , stability theory , pure mathematics , competition (biology) , space (punctuation) , mathematical analysis , competition model , lyapunov stability , physics , nonlinear system , law , computer science , quantum mechanics , ecology , machine learning , political science , paleontology , welfare , biology , operating system

Almost periodic solution of a three-species competition system with grazing rates and diffusions is investigated. By using the method of upper and lower solutions and Schauder fixed point theorem as well as Lyapunov stability theory, we give sufficient conditions to ensure the existence and globally asymptotically stable for the strictly positive space homogenous almost periodic solution, which extend and include corresponding results obtained by Q. C. Lin (1999), F. D. Chen and X. X. Chen (2003), and Y. Q. Liu, S. L, Xie, and Z. D. Xie (1996)

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