Remarks on stochastic permanence of population models

This paper examines the asymptotic behavior of the stochastic Lotka–Volterra model under Markovian switching. We show that the stochastic Lotka–Volterra model is stochastically permanent. Moreover, we give another type of stochastic permanence, and consider the relationship of two types of stochasti...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 408; no. 2; pp. 561 - 571
Main Authors Lv, Jingliang, Wang, Ke, Zou, Xiaoling
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.12.2013
Subjects
Almost sure stochastic permanence
Chebyshev inequality
Lotka–Volterra
Stochastic permanence
Almost sure stochastic permanence
Lotka–Volterra
Stochastic permanence
Chebyshev inequality
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Summary:This paper examines the asymptotic behavior of the stochastic Lotka–Volterra model under Markovian switching. We show that the stochastic Lotka–Volterra model is stochastically permanent. Moreover, we give another type of stochastic permanence, and consider the relationship of two types of stochastic permanence under white noise perturbation.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2013.06.015