Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays
A Lotka-Volterra predator-prey model with time-varying delays is investigated. By using the differential inequality theory, some sufficient conditions which ensure the permanence and global asymptotic stability of the system are established. The paper ends with some interesting numerical simulations...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/956703 |
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| _version_ | 1850216479894536192 |
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| author | Changjin Xu Yusen Wu |
| author_facet | Changjin Xu Yusen Wu |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | A Lotka-Volterra predator-prey model with time-varying delays is investigated. By using the differential inequality theory, some sufficient conditions which ensure the permanence and global asymptotic stability of the system are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions. |
| format | Article |
| id | doaj-art-3c4de330cbf541c886cf2b825a1572ca |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3c4de330cbf541c886cf2b825a1572ca2025-08-20T02:08:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/956703956703Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying DelaysChangjin Xu0Yusen Wu1Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, ChinaA Lotka-Volterra predator-prey model with time-varying delays is investigated. By using the differential inequality theory, some sufficient conditions which ensure the permanence and global asymptotic stability of the system are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions.http://dx.doi.org/10.1155/2013/956703 |
| spellingShingle | Changjin Xu Yusen Wu Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays Abstract and Applied Analysis |
| title | Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays |
| title_full | Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays |
| title_fullStr | Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays |
| title_full_unstemmed | Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays |
| title_short | Dynamics in a Lotka-Volterra Predator-Prey Model with Time-Varying Delays |
| title_sort | dynamics in a lotka volterra predator prey model with time varying delays |
| url | http://dx.doi.org/10.1155/2013/956703 |
| work_keys_str_mv | AT changjinxu dynamicsinalotkavolterrapredatorpreymodelwithtimevaryingdelays AT yusenwu dynamicsinalotkavolterrapredatorpreymodelwithtimevaryingdelays |