Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System
We propose a discrete multispecies cooperation and competition predator-prey systems. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a global...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/835321 |
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| _version_ | 1832548516740726784 |
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| author | Zheyan Zhou |
| author_facet | Zheyan Zhou |
| author_sort | Zheyan Zhou |
| collection | DOAJ |
| description | We propose a discrete multispecies cooperation and competition predator-prey systems. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained. |
| format | Article |
| id | doaj-art-07b3a8bf556340a5b498bc5f17d2826d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-07b3a8bf556340a5b498bc5f17d2826d2025-02-03T06:13:43ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/835321835321Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey SystemZheyan Zhou0School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, ChinaWe propose a discrete multispecies cooperation and competition predator-prey systems. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained.http://dx.doi.org/10.1155/2011/835321 |
| spellingShingle | Zheyan Zhou Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System Discrete Dynamics in Nature and Society |
| title | Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System |
| title_full | Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System |
| title_fullStr | Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System |
| title_full_unstemmed | Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System |
| title_short | Global Attractivity and Periodic Solution of a Discrete Multispecies Cooperation and Competition Predator-Prey System |
| title_sort | global attractivity and periodic solution of a discrete multispecies cooperation and competition predator prey system |
| url | http://dx.doi.org/10.1155/2011/835321 |
| work_keys_str_mv | AT zheyanzhou globalattractivityandperiodicsolutionofadiscretemultispeciescooperationandcompetitionpredatorpreysystem |