On competitive Lotka-Volterra model in random environments (Q1025823)
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scientific article; zbMATH DE number 5568979
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On competitive Lotka-Volterra model in random environments |
scientific article; zbMATH DE number 5568979 |
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On competitive Lotka-Volterra model in random environments (English)
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23 June 2009
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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.
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Lotka-Volterra model
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random environment
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regime-switching diffusion
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