Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching

In this paper, we prove that a stochastic logistic population under regime switching controlled by a Markov chain is either stochastically permanent or extinctive, and we obtain the sufficient and necessary conditions for stochastic permanence and extinction under some assumptions. In the case of st...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 376; no. 1; pp. 11 - 28
Main Authors:	Li, Xiaoyue, Gray, Alison, Jiang, Daqing, Mao, Xuerong
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.04.2011 Elsevier
Subjects:	Brownian motion Exact sciences and technology Generalized Itô's formula Markov chain Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Sciences and techniques of general use Stochastic differential equation Stochastic permanence Brownian motion Generalized Itô's formula Markov chain Stochastic permanence Stochastic differential equation Necessary condition Sufficient condition Mathematical analysis Probability distribution
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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