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...
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| Published in | Discrete Dynamics in Nature and Society Vol. 2011; no. 2011; pp. 1448 - 1461 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Cairo, Egypt
Hindawi Limiteds
01.01.2011
Hindawi Puplishing Corporation Hindawi Publishing Corporation John Wiley & Sons, Inc Hindawi Limited |
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| Abstract | 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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| AbstractList | 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). 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), Y. Q. Liu, S. L, Xie, and Z. D. Xie (1996). |
| Audience | Academic |
| Author | Wang, Rui-fang Yi, Ming Wang, Chang-you Li, Rui |
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| Cites_doi | 10.1016/j.camwa.2008.09.009 10.1006/jmaa.2000.7248 10.1007/s11425-007-2027-7 10.1016/j.amc.2008.06.057 10.1016/j.amc.2005.12.024 10.1006/jmaa.2001.7682 10.1016/j.jmaa.2007.07.082 |
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| SubjectTerms | Competition (Biology) Computational biology Grazing Periodic functions |
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| Title | Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions |
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