Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay

There are many harmful effects of smoking. It not only engulfs the health and life of smokers, but also pollutes the air, endangers the life and health of others, and brings a heavy burden to public health. To this end, a delayed smoking model including potential smokers, occasional smokers, smokers...

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Autores principales:	Xiaomei Hu, A. Pratap, Zizhen Zhang, Aying Wan
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Smoking model Time delay Hopf bifurcation Global exponential stability Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/6fc809f364c9431c8e963d30452b3e4c
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spelling	oai:doaj.org-article:6fc809f364c9431c8e963d30452b3e4c2021-11-30T04:13:56ZHopf bifurcation and global exponential stability of an epidemiological smoking model with time delay1110-016810.1016/j.aej.2021.08.001https://doaj.org/article/6fc809f364c9431c8e963d30452b3e4c2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821005160https://doaj.org/toc/1110-0168There are many harmful effects of smoking. It not only engulfs the health and life of smokers, but also pollutes the air, endangers the life and health of others, and brings a heavy burden to public health. To this end, a delayed smoking model including potential smokers, occasional smokers, smokers, temporary quitters, permanent quitters and smokers with some illness, is investigated in the present paper. Firstly, local stability and existence of Hopf bifurcation of the model is conducted. Secondly, global exponential stability is explored. Lastly, we numerically simulate the correctness of the obtained theoretical results in the paper.Xiaomei HuA. PratapZizhen ZhangAying WanElsevierarticleSmoking modelTime delayHopf bifurcationGlobal exponential stabilityEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 2096-2104 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Smoking model Time delay Hopf bifurcation Global exponential stability Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Smoking model Time delay Hopf bifurcation Global exponential stability Engineering (General). Civil engineering (General) TA1-2040 Xiaomei Hu A. Pratap Zizhen Zhang Aying Wan Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
description	There are many harmful effects of smoking. It not only engulfs the health and life of smokers, but also pollutes the air, endangers the life and health of others, and brings a heavy burden to public health. To this end, a delayed smoking model including potential smokers, occasional smokers, smokers, temporary quitters, permanent quitters and smokers with some illness, is investigated in the present paper. Firstly, local stability and existence of Hopf bifurcation of the model is conducted. Secondly, global exponential stability is explored. Lastly, we numerically simulate the correctness of the obtained theoretical results in the paper.
format	article
author	Xiaomei Hu A. Pratap Zizhen Zhang Aying Wan
author_facet	Xiaomei Hu A. Pratap Zizhen Zhang Aying Wan
author_sort	Xiaomei Hu
title	Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
title_short	Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
title_full	Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
title_fullStr	Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
title_full_unstemmed	Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
title_sort	hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/6fc809f364c9431c8e963d30452b3e4c
work_keys_str_mv	AT xiaomeihu hopfbifurcationandglobalexponentialstabilityofanepidemiologicalsmokingmodelwithtimedelay AT apratap hopfbifurcationandglobalexponentialstabilityofanepidemiologicalsmokingmodelwithtimedelay AT zizhenzhang hopfbifurcationandglobalexponentialstabilityofanepidemiologicalsmokingmodelwithtimedelay AT ayingwan hopfbifurcationandglobalexponentialstabilityofanepidemiologicalsmokingmodelwithtimedelay
_version_	1718406808637276160

Hopf bifurcation and global exponential stability of an epidemiological smoking model with time delay

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