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

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

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1551-1570.doi: 10.1016/S0252-9602(14)60103-X

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

卢春^1,2|丁效华^1*

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

收稿日期:2013-03-11 修回日期:2013-05-20 出版日期:2014-09-20 发布日期:2014-09-20
通讯作者: 丁效华,mathlc@126.com; mathlc@163.com E-mail:mathlc@126.com; mathlc@163.com
基金资助:
This paper is supported by the National Natural Science Foundation of China (11271101) and the NNSF of Shandong Province (ZR2010AQ021).

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

LU Chun^1,2, DING Xiao-Hua^1*

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

Received:2013-03-11 Revised:2013-05-20 Online:2014-09-20 Published:2014-09-20
Contact: DING Xiao-Hua,mathlc@126.com; mathlc@163.com E-mail:mathlc@126.com; mathlc@163.com
Supported by:
This paper is supported by the National Natural Science Foundation of China (11271101) and the NNSF of Shandong Province (ZR2010AQ021).

摘要/Abstract

摘要：

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.

关键词: logistic model, white noise, delay, persistence, impulsive perturbation

Abstract:

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

中图分类号:

90B06

卢春|丁效华. PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION[J]. 数学物理学报(英文版), 2014, 34(5): 1551-1570.

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

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

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