Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response
A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/508962 |
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| _version_ | 1832563960549736448 |
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| author | Yumin Wu Fengde Chen Wanlin Chen Yuhua Lin |
| author_facet | Yumin Wu Fengde Chen Wanlin Chen Yuhua Lin |
| author_sort | Yumin Wu |
| collection | DOAJ |
| description | A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food. Two examples together with their numerical simulations show the feasibility of the main results. |
| format | Article |
| id | doaj-art-0cda8f1144fe4d6a9cba14202bcfaae8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0cda8f1144fe4d6a9cba14202bcfaae82025-02-03T01:12:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/508962508962Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional ResponseYumin Wu0Fengde Chen1Wanlin Chen2Yuhua Lin3College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaA nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food. Two examples together with their numerical simulations show the feasibility of the main results.http://dx.doi.org/10.1155/2012/508962 |
| spellingShingle | Yumin Wu Fengde Chen Wanlin Chen Yuhua Lin Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response Discrete Dynamics in Nature and Society |
| title | Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response |
| title_full | Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response |
| title_fullStr | Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response |
| title_full_unstemmed | Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response |
| title_short | Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response |
| title_sort | dynamic behaviors of a nonautonomous discrete predator prey system incorporating a prey refuge and holling type ii functional response |
| url | http://dx.doi.org/10.1155/2012/508962 |
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