Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control
In this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/4873290 |
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| _version_ | 1832560272275931136 |
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| author | Jinlei Liu Wencai Zhao |
| author_facet | Jinlei Liu Wencai Zhao |
| author_sort | Jinlei Liu |
| collection | DOAJ |
| description | In this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of the corresponding deterministic model and establish sufficient conditions for the persistence and extinction of the model. Finally, the correctness of the theoretical derivation is verified by numerical simulations. |
| format | Article |
| id | doaj-art-b221d15718c8407891096077a757e4f6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b221d15718c8407891096077a757e4f62025-02-03T01:28:04ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/48732904873290Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback ControlJinlei Liu0Wencai Zhao1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of the corresponding deterministic model and establish sufficient conditions for the persistence and extinction of the model. Finally, the correctness of the theoretical derivation is verified by numerical simulations.http://dx.doi.org/10.1155/2019/4873290 |
| spellingShingle | Jinlei Liu Wencai Zhao Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control Complexity |
| title | Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control |
| title_full | Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control |
| title_fullStr | Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control |
| title_full_unstemmed | Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control |
| title_short | Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control |
| title_sort | dynamic analysis of stochastic lotka volterra predator prey model with discrete delays and feedback control |
| url | http://dx.doi.org/10.1155/2019/4873290 |
| work_keys_str_mv | AT jinleiliu dynamicanalysisofstochasticlotkavolterrapredatorpreymodelwithdiscretedelaysandfeedbackcontrol AT wencaizhao dynamicanalysisofstochasticlotkavolterrapredatorpreymodelwithdiscretedelaysandfeedbackcontrol |