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

doi:10.1016/S0252-9602(14)60103-X

Abstract

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.

Key words: logistic model, white noise, delay, persistence, impulsive perturbation

CLC Number:

90B06

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.

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