The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model
A delayed predator-prey model with disease in the prey is investigated. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. The effect of the two different time delays on the dynamical behavior has been given. Numerical...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/286961 |
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| _version_ | 1849399805324820480 |
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| author | Changjin Xu Yusen Wu |
| author_facet | Changjin Xu Yusen Wu |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | A delayed predator-prey model with disease in the prey is investigated. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. The effect of the two different time delays on the dynamical behavior has been given. Numerical simulations are performed to illustrate the theoretical analysis. Finally, the main conclusions are drawn. |
| format | Article |
| id | doaj-art-9ce096df0eff438baf0b3b5fe5d35594 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9ce096df0eff438baf0b3b5fe5d355942025-08-20T03:38:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/286961286961The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological ModelChangjin Xu0Yusen Wu1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, ChinaDepartment of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, ChinaA delayed predator-prey model with disease in the prey is investigated. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. The effect of the two different time delays on the dynamical behavior has been given. Numerical simulations are performed to illustrate the theoretical analysis. Finally, the main conclusions are drawn.http://dx.doi.org/10.1155/2012/286961 |
| spellingShingle | Changjin Xu Yusen Wu The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model Journal of Applied Mathematics |
| title | The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model |
| title_full | The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model |
| title_fullStr | The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model |
| title_full_unstemmed | The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model |
| title_short | The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model |
| title_sort | effect of time delay on dynamical behavior in an ecoepidemiological model |
| url | http://dx.doi.org/10.1155/2012/286961 |
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