Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching

Junmei Liu and Yonggang Ma

Mathematical Problems in Engineering, 2020, vol. 2020, 1-17

Abstract:

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1679018

DOI: 10.1155/2020/1679018

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