Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 57, Issue 3-4, Pages 909-925Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2012.09.019
Keywords
Competitive system; Stochastic perturbations; Impulsive effects; Stochastic permanence; Global attractivity
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Funding
- NSFC of PR China [11126219, 11171081, 11171056]
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This paper is concerned with an n-species stochastic nonautonomous Lotka-Volterra competitive system with impulsive effects. Some dynamical properties are investigated and the sufficient conditions for stochastic permanence, extinction and global stability are established. Moreover, the lower-growth rate and the upper-growth rate of the positive solution are studied. In addition, the limit of the average in time of the sample paths of solutions is estimated. (C) 2012 Elsevier Ltd. All rights reserved.
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