Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls
Species living in a fluctuating medium and human exploitation activities might result in the duration of continuous changes. Such changes can be well-approximated as feedback controls. In this contribution a periodic discrete competitive system subject to feedback controls is proposed. By using the...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/927626 |
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| _version_ | 1832554954461544448 |
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| author | Ronghua Tan Zuxiong Li Qinglong Wang Zhijun Liu |
| author_facet | Ronghua Tan Zuxiong Li Qinglong Wang Zhijun Liu |
| author_sort | Ronghua Tan |
| collection | DOAJ |
| description | Species living in a fluctuating medium and human exploitation activities might result in the duration of continuous changes. Such changes can be well-approximated as feedback controls. In this contribution a periodic discrete competitive system subject to feedback controls is proposed. By using the methods of discrete inequality, fixed point theorem, and analysis techniques, a good understanding of the existence and global asymptotic stability of positive periodic solutions is obtained. Some numerical investigations are provided to verify our analytical results. |
| format | Article |
| id | doaj-art-20964b8f92e04a42aa92a367c4c3f7a2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-20964b8f92e04a42aa92a367c4c3f7a22025-02-03T05:49:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/927626927626Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback ControlsRonghua Tan0Zuxiong Li1Qinglong Wang2Zhijun Liu3Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaSpecies living in a fluctuating medium and human exploitation activities might result in the duration of continuous changes. Such changes can be well-approximated as feedback controls. In this contribution a periodic discrete competitive system subject to feedback controls is proposed. By using the methods of discrete inequality, fixed point theorem, and analysis techniques, a good understanding of the existence and global asymptotic stability of positive periodic solutions is obtained. Some numerical investigations are provided to verify our analytical results.http://dx.doi.org/10.1155/2014/927626 |
| spellingShingle | Ronghua Tan Zuxiong Li Qinglong Wang Zhijun Liu Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls Journal of Applied Mathematics |
| title | Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls |
| title_full | Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls |
| title_fullStr | Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls |
| title_full_unstemmed | Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls |
| title_short | Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls |
| title_sort | positive periodic solutions of a periodic discrete competitive system subject to feedback controls |
| url | http://dx.doi.org/10.1155/2014/927626 |
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