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- W2480821529 abstract "In this note, we study the long time behavior of Lotka-Volterra systems whose coefficients vary randomly. Bena¨m and Lobry established that randomly switching between two environments that are both favorable to the same species may lead to four different regimes: almost sure extinction of one of the two species, random extinction of one species or the other and persistence of both species. Our purpose here is to provide a complete description of the model. In particular, we show that any couple of environments may lead to the four different behaviours of the stochastic process depending on the jump rates." @default.
- W2480821529 created "2016-08-23" @default.
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- W2480821529 date "2016-07-14" @default.
- W2480821529 modified "2023-09-25" @default.
- W2480821529 title "Lotka-Volterra with randomly fluctuating environments: a full description" @default.
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