Dynamic model analysis of Norovirus transmissionwith nonlinear incidence

In order to reduce the great harm of infectious diarrhoeal disease caused by Norovirus infection to human health,based on the transmission characteristics of Norovirus,the transmission dynamics behavior of Norovirus was studied.Taking into account the characteristics that the latent infected with No...

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Autores principales:	Haiyan QIN, Qiang HOU
Formato:	article
Lenguaje:	ZH
Publicado:	Hebei University of Science and Technology 2021
Materias:	stability theory; norovirus; infectious disease model; nonlinear incidence; basic reproduction number Technology T
Acceso en línea:	https://doaj.org/article/e12d4132c5b246d09a983d7fb0001ad9
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spelling	oai:doaj.org-article:e12d4132c5b246d09a983d7fb0001ad92021-11-23T07:16:39ZDynamic model analysis of Norovirus transmissionwith nonlinear incidence1008-154210.7535/hbkd.2021yx02005https://doaj.org/article/e12d4132c5b246d09a983d7fb0001ad92021-04-01T00:00:00Zhttp://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b202102005&flag=1&journal_https://doaj.org/toc/1008-1542In order to reduce the great harm of infectious diarrhoeal disease caused by Norovirus infection to human health,based on the transmission characteristics of Norovirus,the transmission dynamics behavior of Norovirus was studied.Taking into account the characteristics that the latent infected with Norovirus can also transmit the disease,a dynamic model of Norovirus transmission with nonlinear incidence was established.The basic reproduction number R0of the model was calculated and then the stability of the disease-free equilibrium point and the endemic equilibrium point were proved by using the Lyapunov function and the geometric method.The results show that when R0≤1,the disease-free equilibrium point is globally asymptotically stable and the disease disappears; when R0>1,under certain conditions,the endemic equilibrium point is global asymptotically stable.The theoretical results are verified by numerical simulation.The research results have enriched the theory of infectious virus transmission and provide a reference for the study of virus transmission mechanism.Haiyan QINQiang HOUHebei University of Science and Technologyarticlestability theory; norovirus; infectious disease model; nonlinear incidence; basic reproduction numberTechnologyTZHJournal of Hebei University of Science and Technology, Vol 42, Iss 2, Pp 127-134 (2021)
institution	DOAJ
collection	DOAJ
language	ZH
topic	stability theory; norovirus; infectious disease model; nonlinear incidence; basic reproduction number Technology T
spellingShingle	stability theory; norovirus; infectious disease model; nonlinear incidence; basic reproduction number Technology T Haiyan QIN Qiang HOU Dynamic model analysis of Norovirus transmissionwith nonlinear incidence
description	In order to reduce the great harm of infectious diarrhoeal disease caused by Norovirus infection to human health,based on the transmission characteristics of Norovirus,the transmission dynamics behavior of Norovirus was studied.Taking into account the characteristics that the latent infected with Norovirus can also transmit the disease,a dynamic model of Norovirus transmission with nonlinear incidence was established.The basic reproduction number R0of the model was calculated and then the stability of the disease-free equilibrium point and the endemic equilibrium point were proved by using the Lyapunov function and the geometric method.The results show that when R0≤1,the disease-free equilibrium point is globally asymptotically stable and the disease disappears; when R0>1,under certain conditions,the endemic equilibrium point is global asymptotically stable.The theoretical results are verified by numerical simulation.The research results have enriched the theory of infectious virus transmission and provide a reference for the study of virus transmission mechanism.
format	article
author	Haiyan QIN Qiang HOU
author_facet	Haiyan QIN Qiang HOU
author_sort	Haiyan QIN
title	Dynamic model analysis of Norovirus transmissionwith nonlinear incidence
title_short	Dynamic model analysis of Norovirus transmissionwith nonlinear incidence
title_full	Dynamic model analysis of Norovirus transmissionwith nonlinear incidence
title_fullStr	Dynamic model analysis of Norovirus transmissionwith nonlinear incidence
title_full_unstemmed	Dynamic model analysis of Norovirus transmissionwith nonlinear incidence
title_sort	dynamic model analysis of norovirus transmissionwith nonlinear incidence
publisher	Hebei University of Science and Technology
publishDate	2021
url	https://doaj.org/article/e12d4132c5b246d09a983d7fb0001ad9
work_keys_str_mv	AT haiyanqin dynamicmodelanalysisofnorovirustransmissionwithnonlinearincidence AT qianghou dynamicmodelanalysisofnorovirustransmissionwithnonlinearincidence
_version_	1718416855916347392

Dynamic model analysis of Norovirus transmissionwith nonlinear incidence

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