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

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...

Full description

Saved in:
Bibliographic Details
Published inDiscrete Dynamics in Nature and Society Vol. 2011; no. 2011; pp. 1448 - 1461
Main Authors Wang, Chang-you, Wang, Rui-fang, Yi, Ming, Li, Rui
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2011
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Competition (Biology)
Computational biology
Grazing
Periodic functions
China
Online AccessGet full text

Cover

More Information
Summary: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).
ISSN:1026-0226
1607-887X
DOI:10.1155/2011/783136