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

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

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 distri...

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Main Authors: Junmei Liu, Yonggang Ma
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/1679018
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spelling doaj-cb8a03f777cf4600b56b385cb376da742020-11-25T03:25:27ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/16790181679018Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime SwitchingJunmei Liu0Yonggang Ma1School of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaSchool of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaThis 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.http://dx.doi.org/10.1155/2020/1679018
collection DOAJ
language English
format Article
sources DOAJ
author Junmei Liu
Yonggang Ma
spellingShingle Junmei Liu
Yonggang Ma
Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
Mathematical Problems in Engineering
author_facet Junmei Liu
Yonggang Ma
author_sort Junmei Liu
title Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
title_short Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
title_full Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
title_fullStr Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
title_full_unstemmed Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching
title_sort asymptotic behavior analysis for a three-species food chain stochastic model with regime switching
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/1679018
work_keys_str_mv AT junmeiliu asymptoticbehavioranalysisforathreespeciesfoodchainstochasticmodelwithregimeswitching
AT yonggangma asymptoticbehavioranalysisforathreespeciesfoodchainstochasticmodelwithregimeswitching
_version_ 1715219632179118080

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