Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model
We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability an...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/170501 |
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| _version_ | 1849693703113801728 |
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| author | Shuling Yan Xinze Lian Weiming Wang Youbin Wang |
| author_facet | Shuling Yan Xinze Lian Weiming Wang Youbin Wang |
| author_sort | Shuling Yan |
| collection | DOAJ |
| description | We investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability and direction of bifurcating periodic orbits by using normal form theorem and the center manifold theorem. |
| format | Article |
| id | doaj-art-4f7fcb3175a84b24bab74ec2faef287d |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4f7fcb3175a84b24bab74ec2faef287d2025-08-20T03:20:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/170501170501Bifurcation Analysis in a Delayed Diffusive Leslie-Gower ModelShuling Yan0Xinze Lian1Weiming Wang2Youbin Wang3College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaWe investigate a modified delayed Leslie-Gower model under homogeneous Neumann boundary conditions. We give the stability analysis of the equilibria of the model and show the existence of Hopf bifurcation at the positive equilibrium under some conditions. Furthermore, we investigate the stability and direction of bifurcating periodic orbits by using normal form theorem and the center manifold theorem.http://dx.doi.org/10.1155/2013/170501 |
| spellingShingle | Shuling Yan Xinze Lian Weiming Wang Youbin Wang Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model Discrete Dynamics in Nature and Society |
| title | Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model |
| title_full | Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model |
| title_fullStr | Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model |
| title_full_unstemmed | Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model |
| title_short | Bifurcation Analysis in a Delayed Diffusive Leslie-Gower Model |
| title_sort | bifurcation analysis in a delayed diffusive leslie gower model |
| url | http://dx.doi.org/10.1155/2013/170501 |
| work_keys_str_mv | AT shulingyan bifurcationanalysisinadelayeddiffusivelesliegowermodel AT xinzelian bifurcationanalysisinadelayeddiffusivelesliegowermodel AT weimingwang bifurcationanalysisinadelayeddiffusivelesliegowermodel AT youbinwang bifurcationanalysisinadelayeddiffusivelesliegowermodel |