Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching (Q2007320)
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scientific article; zbMATH DE number 7259921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching |
scientific article; zbMATH DE number 7259921 |
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Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching (English)
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13 October 2020
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Summary: This paper discusses the asymptotic behavior of a class of three-species stochastic model with regime switching. Using the Lyapunov function, we first obtain sufficient conditions for extinction and average time persistence. Then, we prove sufficient conditions for the existence of stationary distributions of populations, and they are ergodic. Numerical simulations are carried out to support our theoretical results.
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