Dynamical aspects of smoking model with cravings to smoke

The square-root dynamics of smoking model with cravings to smoke, in which square root of potential smokers and smokers is the interaction term, has been studied. We categorized net population in four different chambers: non-smokers/potential smokers, smokers/infected people, non-permanent smokers/t...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Awan Aziz Ullah, Sharif Attia, Abro Kashif Ali, Ozair Muhammad, Hussain Takasar
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	square-root dynamics cravings global stability graph-theoretic approach optimal control Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/6f98216b090c4fe3b6b3e35a713c6adb
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:6f98216b090c4fe3b6b3e35a713c6adb
record_format	dspace
spelling	oai:doaj.org-article:6f98216b090c4fe3b6b3e35a713c6adb2021-12-05T14:10:57ZDynamical aspects of smoking model with cravings to smoke2192-80102192-802910.1515/nleng-2021-0008https://doaj.org/article/6f98216b090c4fe3b6b3e35a713c6adb2021-05-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0008https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029The square-root dynamics of smoking model with cravings to smoke, in which square root of potential smokers and smokers is the interaction term, has been studied. We categorized net population in four different chambers: non-smokers/potential smokers, smokers/infected people, non-permanent smokers/temporary quitters and the permanent quitters. By dynamical systems approach, we analyzed our model. Moreover, for proving the unique equilibrium point to be globally stable, we took help of graph theoretic approach. The sensitivity analysis of the model is performed through the diseased classes effectively to design reliable, robust and stable control strategies. The model is designed like optimal control trouble to find out importance of various control actions on our system that are insisted by the sensitivity analysis. We have applied two controls, which are the awareness campaign through the media transmission to control the potential smokers and temporary quit smokers to become smokers and the treatment of smokers. Analytical and numerical methods are utilized for ensuring presence of these two control actions.Awan Aziz UllahSharif AttiaAbro Kashif AliOzair MuhammadHussain TakasarDe Gruyterarticlesquare-root dynamicscravingsglobal stabilitygraph-theoretic approachoptimal controlEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 91-108 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	square-root dynamics cravings global stability graph-theoretic approach optimal control Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	square-root dynamics cravings global stability graph-theoretic approach optimal control Engineering (General). Civil engineering (General) TA1-2040 Awan Aziz Ullah Sharif Attia Abro Kashif Ali Ozair Muhammad Hussain Takasar Dynamical aspects of smoking model with cravings to smoke
description	The square-root dynamics of smoking model with cravings to smoke, in which square root of potential smokers and smokers is the interaction term, has been studied. We categorized net population in four different chambers: non-smokers/potential smokers, smokers/infected people, non-permanent smokers/temporary quitters and the permanent quitters. By dynamical systems approach, we analyzed our model. Moreover, for proving the unique equilibrium point to be globally stable, we took help of graph theoretic approach. The sensitivity analysis of the model is performed through the diseased classes effectively to design reliable, robust and stable control strategies. The model is designed like optimal control trouble to find out importance of various control actions on our system that are insisted by the sensitivity analysis. We have applied two controls, which are the awareness campaign through the media transmission to control the potential smokers and temporary quit smokers to become smokers and the treatment of smokers. Analytical and numerical methods are utilized for ensuring presence of these two control actions.
format	article
author	Awan Aziz Ullah Sharif Attia Abro Kashif Ali Ozair Muhammad Hussain Takasar
author_facet	Awan Aziz Ullah Sharif Attia Abro Kashif Ali Ozair Muhammad Hussain Takasar
author_sort	Awan Aziz Ullah
title	Dynamical aspects of smoking model with cravings to smoke
title_short	Dynamical aspects of smoking model with cravings to smoke
title_full	Dynamical aspects of smoking model with cravings to smoke
title_fullStr	Dynamical aspects of smoking model with cravings to smoke
title_full_unstemmed	Dynamical aspects of smoking model with cravings to smoke
title_sort	dynamical aspects of smoking model with cravings to smoke
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/6f98216b090c4fe3b6b3e35a713c6adb
work_keys_str_mv	AT awanazizullah dynamicalaspectsofsmokingmodelwithcravingstosmoke AT sharifattia dynamicalaspectsofsmokingmodelwithcravingstosmoke AT abrokashifali dynamicalaspectsofsmokingmodelwithcravingstosmoke AT ozairmuhammad dynamicalaspectsofsmokingmodelwithcravingstosmoke AT hussaintakasar dynamicalaspectsofsmokingmodelwithcravingstosmoke
_version_	1718371544149786624

Dynamical aspects of smoking model with cravings to smoke

Ejemplares similares