Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses
By constructing a suitable Lyapunov functional, the global attractivity of positive periodic solutions for a delayed predator-prey system with diffusion and impulses is studied in this paper. Finally, an example and numerical analysis are given to show the effectiveness of the main results.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/459451 |
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| _version_ | 1832552315268104192 |
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| author | Yuanfu Shao Xiaolan Xie Zhixiang Ju |
| author_facet | Yuanfu Shao Xiaolan Xie Zhixiang Ju |
| author_sort | Yuanfu Shao |
| collection | DOAJ |
| description | By constructing a suitable Lyapunov functional, the global attractivity of positive periodic solutions for a delayed predator-prey system with diffusion and impulses is studied in this paper. Finally, an example and numerical analysis are given to show the effectiveness of the main results. |
| format | Article |
| id | doaj-art-ac3dd144360b4c68bb7cd305eee85326 |
| 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-ac3dd144360b4c68bb7cd305eee853262025-02-03T05:58:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/459451459451Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and ImpulsesYuanfu Shao0Xiaolan Xie1Zhixiang Ju2College of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaInstitute of Information Science and Technology, Guilin University of Technology, Guilin, Guangxi 541004, ChinaCollege of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaBy constructing a suitable Lyapunov functional, the global attractivity of positive periodic solutions for a delayed predator-prey system with diffusion and impulses is studied in this paper. Finally, an example and numerical analysis are given to show the effectiveness of the main results.http://dx.doi.org/10.1155/2014/459451 |
| spellingShingle | Yuanfu Shao Xiaolan Xie Zhixiang Ju Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses Journal of Applied Mathematics |
| title | Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses |
| title_full | Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses |
| title_fullStr | Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses |
| title_full_unstemmed | Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses |
| title_short | Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses |
| title_sort | global attractivity of positive periodic solution for a delayed predator prey system with diffusion and impulses |
| url | http://dx.doi.org/10.1155/2014/459451 |
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