LOTKA-VOLTERRA WITH RANDOMLY FLUCTUATING ENVIRONMENTS OR HOW SWITCHING BETWEEN BENEFICIAL ENVIRONMENTS CAN MAKE SURVIVAL HARDER

• 成果类型: Article
• 署名作者: Benaim, Michel; Lobry, Claude
• 署名单位: University of Neuchatel; Universite Cote d'Azur
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/16-AAP1192
• 发表日期: 2016
• 页码: 3754-3785
• 关键词: robust permanence; invariant densities; DYNAMICAL-SYSTEMS; coexistence; persistence; STABILITY; EQUATIONS; THEOREM; GROWTH; rates

摘要

We consider two-dimensional Lotka-Volterra systems in a fluctuating environment. Relying on recent results on stochastic persistence and piece wise deterministic Markov processes, we show that random switching between two environments that are both favorable to the same species can lead to the extinction of this species or coexistence of the two competing species.