Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System
This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained. Besides, some results are estab...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/857134 |
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| _version_ | 1841524570184482816 |
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| author | Zheng Wu Hao Huang Lianglong Wang |
| author_facet | Zheng Wu Hao Huang Lianglong Wang |
| author_sort | Zheng Wu |
| collection | DOAJ |
| description | This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained. Besides, some results are established such as the stochastically ultimate boundedness and stochastic permanence for this model. |
| format | Article |
| id | doaj-art-bb3c70f03d4c45b9a3a1c87685d90e66 |
| 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-bb3c70f03d4c45b9a3a1c87685d90e662025-02-03T05:52:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/857134857134Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey SystemZheng Wu0Hao Huang1Lianglong Wang2School of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaThis paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained. Besides, some results are established such as the stochastically ultimate boundedness and stochastic permanence for this model.http://dx.doi.org/10.1155/2012/857134 |
| spellingShingle | Zheng Wu Hao Huang Lianglong Wang Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System Journal of Applied Mathematics |
| title | Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System |
| title_full | Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System |
| title_fullStr | Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System |
| title_full_unstemmed | Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System |
| title_short | Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System |
| title_sort | dynamical behavior of a stochastic ratio dependent predator prey system |
| url | http://dx.doi.org/10.1155/2012/857134 |
| work_keys_str_mv | AT zhengwu dynamicalbehaviorofastochasticratiodependentpredatorpreysystem AT haohuang dynamicalbehaviorofastochasticratiodependentpredatorpreysystem AT lianglongwang dynamicalbehaviorofastochasticratiodependentpredatorpreysystem |