Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation
Taking white noise into account, a stochastic nonautonomous logistic model is proposed and investigated. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence, and global asymptotic stability are established. Moreover, the threshold between weak pe...
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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/10.1155/2012/692742 |
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| _version_ | 1832549592048074752 |
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| author | Chun Lu Xiaohua Ding |
| author_facet | Chun Lu Xiaohua Ding |
| author_sort | Chun Lu |
| collection | DOAJ |
| description | Taking white noise into account, a stochastic nonautonomous logistic model is proposed and investigated. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence, and global asymptotic stability are established. Moreover, the threshold between weak persistence and extinction is obtained. Finally, we introduce some numerical simulink graphics to illustrate our main results. |
| format | Article |
| id | doaj-art-8931550e582f48cbbb5e575d0c796ad2 |
| 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-8931550e582f48cbbb5e575d0c796ad22025-02-03T06:10:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/692742692742Survival Analysis of a Nonautonomous Logistic Model with Stochastic PerturbationChun Lu0Xiaohua Ding1Department of Mathematics, Harbin Institute of Technology, Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology, Weihai 264209, ChinaTaking white noise into account, a stochastic nonautonomous logistic model is proposed and investigated. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence, and global asymptotic stability are established. Moreover, the threshold between weak persistence and extinction is obtained. Finally, we introduce some numerical simulink graphics to illustrate our main results.http://dx.doi.org/10.1155/2012/692742 |
| spellingShingle | Chun Lu Xiaohua Ding Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation Journal of Applied Mathematics |
| title | Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation |
| title_full | Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation |
| title_fullStr | Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation |
| title_full_unstemmed | Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation |
| title_short | Survival Analysis of a Nonautonomous Logistic Model with Stochastic Perturbation |
| title_sort | survival analysis of a nonautonomous logistic model with stochastic perturbation |
| url | http://dx.doi.org/10.1155/2012/692742 |
| work_keys_str_mv | AT chunlu survivalanalysisofanonautonomouslogisticmodelwithstochasticperturbation AT xiaohuading survivalanalysisofanonautonomouslogisticmodelwithstochasticperturbation |