On a nonautonomous competitive system subject to stochastic and impulsive perturbations

Ronghua Tan, Zhijun Liu, Shengliang Guo and Huili Xiang

Applied Mathematics and Computation, 2015, vol. 256, issue C, 702-714

Abstract: This paper presents a nonautonomous impulsive stochastic differential model of competition between species which contains the classic two-species competitive Lotka–Volterra model as a special case. With the theory of impulsive stochastic differential equations, a good understanding of stochastic permanence and extinction of system is obtained. Two specific numerical examples are presented to support the analytical results. Conclusions are also given.

Keywords: Nonautonomous competitive system; Stochastic effects; Impulses; Stochastic permanence; Extinction (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:702-714

DOI: 10.1016/j.amc.2015.01.074

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