Almost Periodic Solution of a Discrete Commensalism System
A nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarante...
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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/10.1155/2015/295483 |
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| _version_ | 1832564207088828416 |
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| author | Yalong Xue Xiangdong Xie Fengde Chen Rongyu Han |
| author_facet | Yalong Xue Xiangdong Xie Fengde Chen Rongyu Han |
| author_sort | Yalong Xue |
| collection | DOAJ |
| description | A nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarantee the system global attractivity are obtained. If the coefficients are almost periodic, there exists an almost periodic solution and the almost periodic solution is globally attractive. |
| format | Article |
| id | doaj-art-79bae7cb473e4ebc84429c27d1b00788 |
| 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-79bae7cb473e4ebc84429c27d1b007882025-02-03T01:11:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/295483295483Almost Periodic Solution of a Discrete Commensalism SystemYalong Xue0Xiangdong Xie1Fengde Chen2Rongyu Han3Department of Mathematics, Ningde Normal University, Ningde, Fujian 352100, ChinaDepartment of Mathematics, Ningde Normal University, Ningde, Fujian 352100, ChinaDepartment of Mathematics, Ningde Normal University, Ningde, Fujian 352100, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, ChinaA nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarantee the system global attractivity are obtained. If the coefficients are almost periodic, there exists an almost periodic solution and the almost periodic solution is globally attractive.http://dx.doi.org/10.1155/2015/295483 |
| spellingShingle | Yalong Xue Xiangdong Xie Fengde Chen Rongyu Han Almost Periodic Solution of a Discrete Commensalism System Discrete Dynamics in Nature and Society |
| title | Almost Periodic Solution of a Discrete Commensalism System |
| title_full | Almost Periodic Solution of a Discrete Commensalism System |
| title_fullStr | Almost Periodic Solution of a Discrete Commensalism System |
| title_full_unstemmed | Almost Periodic Solution of a Discrete Commensalism System |
| title_short | Almost Periodic Solution of a Discrete Commensalism System |
| title_sort | almost periodic solution of a discrete commensalism system |
| url | http://dx.doi.org/10.1155/2015/295483 |
| work_keys_str_mv | AT yalongxue almostperiodicsolutionofadiscretecommensalismsystem AT xiangdongxie almostperiodicsolutionofadiscretecommensalismsystem AT fengdechen almostperiodicsolutionofadiscretecommensalismsystem AT rongyuhan almostperiodicsolutionofadiscretecommensalismsystem |