Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic no...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/824507 |
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| _version_ | 1832561237255258112 |
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| author | Qing Wang Yongguang Yu Shuo Zhang |
| author_facet | Qing Wang Yongguang Yu Shuo Zhang |
| author_sort | Qing Wang |
| collection | DOAJ |
| description | A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of the
stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results. |
| format | Article |
| id | doaj-art-a372eedb0f944ee0b3f432432512e506 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a372eedb0f944ee0b3f432432512e5062025-02-03T01:25:42ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/824507824507Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive PerturbationsQing Wang0Yongguang Yu1Shuo Zhang2Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaA stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of the stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.http://dx.doi.org/10.1155/2015/824507 |
| spellingShingle | Qing Wang Yongguang Yu Shuo Zhang Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations Advances in Mathematical Physics |
| title | Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations |
| title_full | Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations |
| title_fullStr | Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations |
| title_full_unstemmed | Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations |
| title_short | Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations |
| title_sort | dynamics of a general stochastic nonautonomous lotka volterra model with delays and impulsive perturbations |
| url | http://dx.doi.org/10.1155/2015/824507 |
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