Almost periodic solutions for a SVIR epidemic model with relapse

This paper is devoted to a nonautonomous SVIR epidemic model with relapse, that is, the recurrence rate is considered in the model. The permanent of the system is proved, and the result on the existence and uniqueness of globally attractive almost periodic solution of this system is obtained by cons...

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Autores principales:	Yifan Xing, Hong-Xu Li
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	epidemic model persistence almost periodic solution Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/84a2f7e7ed9b48049ce84037705b2a43
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spelling	oai:doaj.org-article:84a2f7e7ed9b48049ce84037705b2a432021-11-23T01:46:28ZAlmost periodic solutions for a SVIR epidemic model with relapse10.3934/mbe.20213561551-0018https://doaj.org/article/84a2f7e7ed9b48049ce84037705b2a432021-08-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021356?viewType=HTMLhttps://doaj.org/toc/1551-0018This paper is devoted to a nonautonomous SVIR epidemic model with relapse, that is, the recurrence rate is considered in the model. The permanent of the system is proved, and the result on the existence and uniqueness of globally attractive almost periodic solution of this system is obtained by constructing a suitable Lyapunov function. Some analysis for the necessity of considering the recurrence rate in the model is also presented. Moreover, some examples and numerical simulations are given to show the feasibility of our main results. Through numerical simulation, we have obtained the influence of vaccination rate and recurrence rate on the spread of the disease. The conclusion is that in order to control the epidemic of infectious diseases, we should increase the vaccination rate while reducing the recurrence rate of the disease.Yifan XingHong-Xu LiAIMS Pressarticleepidemic modelpersistencealmost periodic solutionBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7191-7217 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	epidemic model persistence almost periodic solution Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	epidemic model persistence almost periodic solution Biotechnology TP248.13-248.65 Mathematics QA1-939 Yifan Xing Hong-Xu Li Almost periodic solutions for a SVIR epidemic model with relapse
description	This paper is devoted to a nonautonomous SVIR epidemic model with relapse, that is, the recurrence rate is considered in the model. The permanent of the system is proved, and the result on the existence and uniqueness of globally attractive almost periodic solution of this system is obtained by constructing a suitable Lyapunov function. Some analysis for the necessity of considering the recurrence rate in the model is also presented. Moreover, some examples and numerical simulations are given to show the feasibility of our main results. Through numerical simulation, we have obtained the influence of vaccination rate and recurrence rate on the spread of the disease. The conclusion is that in order to control the epidemic of infectious diseases, we should increase the vaccination rate while reducing the recurrence rate of the disease.
format	article
author	Yifan Xing Hong-Xu Li
author_facet	Yifan Xing Hong-Xu Li
author_sort	Yifan Xing
title	Almost periodic solutions for a SVIR epidemic model with relapse
title_short	Almost periodic solutions for a SVIR epidemic model with relapse
title_full	Almost periodic solutions for a SVIR epidemic model with relapse
title_fullStr	Almost periodic solutions for a SVIR epidemic model with relapse
title_full_unstemmed	Almost periodic solutions for a SVIR epidemic model with relapse
title_sort	almost periodic solutions for a svir epidemic model with relapse
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/84a2f7e7ed9b48049ce84037705b2a43
work_keys_str_mv	AT yifanxing almostperiodicsolutionsforasvirepidemicmodelwithrelapse AT hongxuli almostperiodicsolutionsforasvirepidemicmodelwithrelapse
_version_	1718417385260580864

Almost periodic solutions for a SVIR epidemic model with relapse

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