Articles

PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION

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  • 1. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China;
    2. Department of Mathematics, Qingdao Technological University, Qingdao 266520, China

Received date: 2013-03-11

  Revised date: 2013-05-20

  Online published: 2014-09-20

Supported by

This paper is supported by the National Natural Science Foundation of China (11271101) and the NNSF of Shandong Province (ZR2010AQ021).

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.

Cite this article

LU Chun, DING Xiao-Hua . PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION[J]. Acta mathematica scientia, Series B, 2014 , 34(5) : 1551 -1570 . DOI: 10.1016/S0252-9602(14)60103-X

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