Journal
ANNALS OF APPLIED PROBABILITY
Volume 26, Issue 6, Pages 3754-3785Publisher
INST MATHEMATICAL STATISTICS
DOI: 10.1214/16-AAP1192
Keywords
Population dynamics; persistence; piecewise deterministic processes; competitive exclusion; Markov processes
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Funding
- SNF [FN 200020-149871/1, 200021-163072/1]
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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.
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