Coexistence and exclusion of stochastic competitive Lotka-Volterra models
type: Item
instance of: scholarly article
title: Coexistence and exclusion of stochastic competitive Lotka-Volterra models
zbMATH Open document ID: 1367.34065
author: Dang Hai Nguyen
author: George Yin
published in: Journal of Differential Equations
publication date: 2016-12-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1601.06334
review text: The authors obtain sufficient conditions for coexistence and exclusion of a stochastic competitive Lotka-Volterra model. The link between the threshold values and the Lyapunov exponents is demonstrated. Convergence of positive solutions of the model is established.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 6668240
zbMATH Keywords: ergodicity
zbMATH Keywords: coexistence
zbMATH Keywords: exclusion
zbMATH Keywords: Lotka-Volterra
zbMATH Keywords: competition
zbMATH Keywords: stationary distribution
reviewed by: Alexandra Rodkina
MaRDI profile type: Publication
OpenAlex ID: W2253515180
arXiv ID: 1601.06334
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DOI: 10.1016/J.JDE.2016.10.005
description: scientific article