Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges
We investigate the stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges by using the analytical approach. Under some very weakly assumption, we show that conditions that ensure the locally asymptotically stable of th...
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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/10.1155/2012/148942 |
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| _version_ | 1832558521883820032 |
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| author | Fengde Chen Yumin Wu Zhaozhi Ma |
| author_facet | Fengde Chen Yumin Wu Zhaozhi Ma |
| author_sort | Fengde Chen |
| collection | DOAJ |
| description | We investigate the stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges by using the analytical approach. Under some very weakly assumption, we show that conditions that ensure the locally asymptotically stable of the predator-free equilibrium point are consistent with that of the globally asymptotically stable ones. Our result supplements the corresponding result of Ma et al., 2009. |
| format | Article |
| id | doaj-art-4a74a380abba483eab6536e184c57dae |
| 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-4a74a380abba483eab6536e184c57dae2025-02-03T01:32:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/148942148942Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey RefugesFengde Chen0Yumin Wu1Zhaozhi Ma2College of Mathematics and Computer Science, Fuzhou University, Ujian, Uzhou 350002, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Ujian, Uzhou 350002, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Ujian, Uzhou 350002, ChinaWe investigate the stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges by using the analytical approach. Under some very weakly assumption, we show that conditions that ensure the locally asymptotically stable of the predator-free equilibrium point are consistent with that of the globally asymptotically stable ones. Our result supplements the corresponding result of Ma et al., 2009.http://dx.doi.org/10.1155/2012/148942 |
| spellingShingle | Fengde Chen Yumin Wu Zhaozhi Ma Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges Discrete Dynamics in Nature and Society |
| title | Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges |
| title_full | Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges |
| title_fullStr | Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges |
| title_full_unstemmed | Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges |
| title_short | Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges |
| title_sort | stability property for the predator free equilibrium point of predator prey systems with a class of functional response and prey refuges |
| url | http://dx.doi.org/10.1155/2012/148942 |
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