Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses
We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained.
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/81756 |
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| _version_ | 1832550067859357696 |
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| author | Weibing Wang Jianhua Shen Juan J. Nieto |
| author_facet | Weibing Wang Jianhua Shen Juan J. Nieto |
| author_sort | Weibing Wang |
| collection | DOAJ |
| description | We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained. |
| format | Article |
| id | doaj-art-5f3e4542d95a49f58ce359ea641eb41a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5f3e4542d95a49f58ce359ea641eb41a2025-02-03T06:07:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/8175681756Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and ImpulsesWeibing Wang0Jianhua Shen1Juan J. Nieto2Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartment of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartamento de Análise Matemática, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago do Compostela 15782, SpainWe considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained.http://dx.doi.org/10.1155/2007/81756 |
| spellingShingle | Weibing Wang Jianhua Shen Juan J. Nieto Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses Discrete Dynamics in Nature and Society |
| title | Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses |
| title_full | Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses |
| title_fullStr | Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses |
| title_full_unstemmed | Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses |
| title_short | Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses |
| title_sort | permanence and periodic solution of predator prey system with holling type functional response and impulses |
| url | http://dx.doi.org/10.1155/2007/81756 |
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