A spatial SIS model in heterogeneous environments with vary advective rate

We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when $ \mathcal{R}_0 < 1 $ and the existence of the endemic equilibrium when $ \mathcal{R}_0...

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Autores principales:	Xiaowei An, Xianfa Song
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	spatial sis model vary advective rate disease-free equilibrium endemic equilibrium Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/995653125b7446eda87d283ec0d6e8dc
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spelling	oai:doaj.org-article:995653125b7446eda87d283ec0d6e8dc2021-11-09T02:16:51ZA spatial SIS model in heterogeneous environments with vary advective rate10.3934/mbe.20212761551-0018https://doaj.org/article/995653125b7446eda87d283ec0d6e8dc2021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021276?viewType=HTMLhttps://doaj.org/toc/1551-0018We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when $ \mathcal{R}_0 < 1 $ and the existence of the endemic equilibrium when $ \mathcal{R}_0 > 1 $. Here $ \mathcal{R}_0 $ is the basic reproduction number. We also discuss the effect of diffusion on the stability of the DFE.Xiaowei AnXianfa Song AIMS Pressarticlespatial sis modelvary advective ratedisease-free equilibriumendemic equilibriumBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5449-5477 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	spatial sis model vary advective rate disease-free equilibrium endemic equilibrium Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	spatial sis model vary advective rate disease-free equilibrium endemic equilibrium Biotechnology TP248.13-248.65 Mathematics QA1-939 Xiaowei An Xianfa Song A spatial SIS model in heterogeneous environments with vary advective rate
description	We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when $ \mathcal{R}_0 < 1 $ and the existence of the endemic equilibrium when $ \mathcal{R}_0 > 1 $. Here $ \mathcal{R}_0 $ is the basic reproduction number. We also discuss the effect of diffusion on the stability of the DFE.
format	article
author	Xiaowei An Xianfa Song
author_facet	Xiaowei An Xianfa Song
author_sort	Xiaowei An
title	A spatial SIS model in heterogeneous environments with vary advective rate
title_short	A spatial SIS model in heterogeneous environments with vary advective rate
title_full	A spatial SIS model in heterogeneous environments with vary advective rate
title_fullStr	A spatial SIS model in heterogeneous environments with vary advective rate
title_full_unstemmed	A spatial SIS model in heterogeneous environments with vary advective rate
title_sort	spatial sis model in heterogeneous environments with vary advective rate
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/995653125b7446eda87d283ec0d6e8dc
work_keys_str_mv	AT xiaoweian aspatialsismodelinheterogeneousenvironmentswithvaryadvectiverate AT xianfasong aspatialsismodelinheterogeneousenvironmentswithvaryadvectiverate AT xiaoweian spatialsismodelinheterogeneousenvironmentswithvaryadvectiverate AT xianfasong spatialsismodelinheterogeneousenvironmentswithvaryadvectiverate
_version_	1718441404913418240

A spatial SIS model in heterogeneous environments with vary advective rate

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