Logistic models with regime switching: Permanence and ergodicity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

Li, Xiaoyue¹  Yin, George² 

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

关键词: Stochastic permanence;    Stochastic logistic model;    Markov chain;    Positive recurrence;    Stationary distribution;   

DOI  :  10.1016/j.jmaa.2016.04.016

来源: Elsevier

【 摘 要 】

Focusing on stochastic dynamics involving continuous states as well as discrete events, this paper investigates stochastic logistic model with regime switching and obtains sufficient conditions for stochastic permanence, which are much weaker than the existing results in the literature. Furthermore, under the conditions of stochastic permanence, the existence and uniqueness of stationary distribution is proved. An interesting fact is: The regime switching can suppress the non-permanence. A couple of examples and numerical simulations are given to illustrate our results. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free