Zhu, C.; Yin, G. On competitive Lotka-Volterra model in random environments. (English) Zbl 1182.34078 J. Math. Anal. Appl. 357, No. 1, 154-170 (2009). The authors study asymptotic properties of a competitive Lotka-Volterra model in random environments. A continuous-time Markov chain is used to model the random environments while the population dynamics of the different species are modelled by a regime-switching diffusion. Growth rates of the population sizes are found to be bounded above, and a partial stochastic principle of competitive exclusion is obtained. Reviewer: Andrew Dale (Durban) Cited in 141 Documents MSC: 34F05 Ordinary differential equations and systems with randomness 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 92D25 Population dynamics (general) Keywords:Lotka-Volterra model; random environment; regime-switching diffusion PDFBibTeX XMLCite \textit{C. Zhu} and \textit{G. Yin}, J. Math. Anal. 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