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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/783136 |
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| _version_ | 1849693973994536960 |
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| author | Chang-you Wang Rui-fang Wang Ming Yi Rui Li |
| author_facet | Chang-you Wang Rui-fang Wang Ming Yi Rui Li |
| author_sort | Chang-you Wang |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-4b81d8fe72654151a7ee8a85a44882b8 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4b81d8fe72654151a7ee8a85a44882b82025-08-20T03:20:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/783136783136Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and DiffusionsChang-you Wang0Rui-fang Wang1Ming Yi2Rui Li3Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, ChinaCollege of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, ChinaAlmost 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).http://dx.doi.org/10.1155/2011/783136 |
| spellingShingle | Chang-you Wang Rui-fang Wang Ming Yi Rui Li Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions Discrete Dynamics in Nature and Society |
| title | Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions |
| title_full | Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions |
| title_fullStr | Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions |
| title_full_unstemmed | Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions |
| title_short | Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions |
| title_sort | stability analysis of three species almost periodic competition models with grazing rates and diffusions |
| url | http://dx.doi.org/10.1155/2011/783136 |
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