PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION |
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| Authors: | Chun LU Xiaohua DING |
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| Affiliation: | Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China |
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| Abstract: | A stochastic logistic model with delays and impulsive perturbation is proposed and investigated. Sufficient conditions for extinction are established as well as nonpersistence in the mean, weak persistence and stochastic permanence. The threshold between weak persistence and extinction is obtained. Furthermore, the theoretical analysis results are also derivated with the help of numerical simulations. |
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| Keywords: | logistic model white noise delay persistence impulsive perturbation |
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