Stability in distribution of competitive Lotka-Volterra system with Markovian switching (Q638853)
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scientific article; zbMATH DE number 5947873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability in distribution of competitive Lotka-Volterra system with Markovian switching |
scientific article; zbMATH DE number 5947873 |
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Stability in distribution of competitive Lotka-Volterra system with Markovian switching (English)
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16 September 2011
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Asymptotic stability in distribution is proved for solutions of a system of \(n\) Itô stochastic differential equations with Markov switching that models Lotka-Volterra competition in mathematical ecology. Numerical simulation results for a simple example are presented to illustrate the behavior described in the paper.
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Lotka-Volterra model
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stability in distribution
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Markov chain
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0.93125737
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0.92270905
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0.91173637
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0.9060796
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0.8999302
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0.8982059
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