Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching
type: Item
instance of: scholarly article
title: Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching
zbMATH Open document ID: 1459.92087
DOI: 10.1155/2020/1679018
author: Junmei Liu
author: Yonggang Ma
published in: Mathematical Problems in Engineering
publication date: 2020-10-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60J28
zbMATH DE Number: 7259921
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1679018
OpenAlex ID: W3082527011
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description: scientific article; zbMATH DE number 7259921