Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls
We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/268378 |
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| _version_ | 1832565052270444544 |
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| author | Hui Zhang Feng Feng Bin Jing Yingqi Li |
| author_facet | Hui Zhang Feng Feng Bin Jing Yingqi Li |
| author_sort | Hui Zhang |
| collection | DOAJ |
| description | We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable. An example together with numerical simulation indicates the feasibility of the main result. |
| format | Article |
| id | doaj-art-b616da638df24de5a881832a2ba03f42 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b616da638df24de5a881832a2ba03f422025-02-03T01:09:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/268378268378Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback ControlsHui Zhang0Feng Feng1Bin Jing2Yingqi Li3Mathematics and OR Section, Xi’an Research Institute of High-Tech Hongqing Town, Xi’an, Shaanxi 710025, ChinaDepartment of Applied Mathematics, School of Science, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, ChinaMathematics and OR Section, Xi’an Research Institute of High-Tech Hongqing Town, Xi’an, Shaanxi 710025, ChinaMathematics and OR Section, Xi’an Research Institute of High-Tech Hongqing Town, Xi’an, Shaanxi 710025, ChinaWe consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable. An example together with numerical simulation indicates the feasibility of the main result.http://dx.doi.org/10.1155/2015/268378 |
| spellingShingle | Hui Zhang Feng Feng Bin Jing Yingqi Li Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls Discrete Dynamics in Nature and Society |
| title | Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls |
| title_full | Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls |
| title_fullStr | Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls |
| title_full_unstemmed | Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls |
| title_short | Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls |
| title_sort | almost periodic solution of a multispecies discrete mutualism system with feedback controls |
| url | http://dx.doi.org/10.1155/2015/268378 |
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