Long-time behaviors of two stochastic mussel-algae models

In this paper, we develop two stochastic mussel-algae models: one is autonomous and the other is periodic. For the autonomous model, we provide sufficient conditions for the extinction, nonpersistent in the mean and weak persistence, and demonstrate that the model possesses a unique ergodic stationa...

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Autores principales:	Dengxia Zhou, Meng Liu, Ke Qi, Zhijun Liu
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	mussel-algae models random perturbations stationary distribution periodic solution Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/61719d4f396d41ba9ad54c043c55690f
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spelling	oai:doaj.org-article:61719d4f396d41ba9ad54c043c55690f2021-11-24T01:23:10ZLong-time behaviors of two stochastic mussel-algae models10.3934/mbe.20214161551-0018https://doaj.org/article/61719d4f396d41ba9ad54c043c55690f2021-09-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021416?viewType=HTMLhttps://doaj.org/toc/1551-0018In this paper, we develop two stochastic mussel-algae models: one is autonomous and the other is periodic. For the autonomous model, we provide sufficient conditions for the extinction, nonpersistent in the mean and weak persistence, and demonstrate that the model possesses a unique ergodic stationary distribution by constructing some suitable Lyapunov functions. For the periodic model, we testify that it has a periodic solution. The theoretical findings are also applied to practice to dissect the effects of environmental perturbations on the growth of mussel.Dengxia ZhouMeng LiuKe QiZhijun Liu AIMS Pressarticlemussel-algae modelsrandom perturbationsstationary distributionperiodic solutionBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8392-8414 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	mussel-algae models random perturbations stationary distribution periodic solution Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	mussel-algae models random perturbations stationary distribution periodic solution Biotechnology TP248.13-248.65 Mathematics QA1-939 Dengxia Zhou Meng Liu Ke Qi Zhijun Liu Long-time behaviors of two stochastic mussel-algae models
description	In this paper, we develop two stochastic mussel-algae models: one is autonomous and the other is periodic. For the autonomous model, we provide sufficient conditions for the extinction, nonpersistent in the mean and weak persistence, and demonstrate that the model possesses a unique ergodic stationary distribution by constructing some suitable Lyapunov functions. For the periodic model, we testify that it has a periodic solution. The theoretical findings are also applied to practice to dissect the effects of environmental perturbations on the growth of mussel.
format	article
author	Dengxia Zhou Meng Liu Ke Qi Zhijun Liu
author_facet	Dengxia Zhou Meng Liu Ke Qi Zhijun Liu
author_sort	Dengxia Zhou
title	Long-time behaviors of two stochastic mussel-algae models
title_short	Long-time behaviors of two stochastic mussel-algae models
title_full	Long-time behaviors of two stochastic mussel-algae models
title_fullStr	Long-time behaviors of two stochastic mussel-algae models
title_full_unstemmed	Long-time behaviors of two stochastic mussel-algae models
title_sort	long-time behaviors of two stochastic mussel-algae models
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/61719d4f396d41ba9ad54c043c55690f
work_keys_str_mv	AT dengxiazhou longtimebehaviorsoftwostochasticmusselalgaemodels AT mengliu longtimebehaviorsoftwostochasticmusselalgaemodels AT keqi longtimebehaviorsoftwostochasticmusselalgaemodels AT zhijunliu longtimebehaviorsoftwostochasticmusselalgaemodels
_version_	1718416036478320640

Long-time behaviors of two stochastic mussel-algae models

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