Influence of Relapse in a Giving Up Smoking Model

Smoking subject is an interesting area to study. The aim of this paper is to derive and analyze a model taking into account light smokers compartment, recovery compartment, and two relapses in the giving up smoking model. Stability of the model is obtained. Some numerical simulations are also provi...

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Main Authors: Hai-Feng Huo, Cheng-Cheng Zhu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/525461
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author Hai-Feng Huo
Cheng-Cheng Zhu
author_facet Hai-Feng Huo
Cheng-Cheng Zhu
author_sort Hai-Feng Huo
collection DOAJ
description Smoking subject is an interesting area to study. The aim of this paper is to derive and analyze a model taking into account light smokers compartment, recovery compartment, and two relapses in the giving up smoking model. Stability of the model is obtained. Some numerical simulations are also provided to illustrate our analytical results and to show the effect of controlling the rate of relapse on the giving up smoking model.
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spelling doaj-art-bfad03ed126d4f5fa9c231fe1f95cb2d2025-08-20T02:19:27ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/525461525461Influence of Relapse in a Giving Up Smoking ModelHai-Feng Huo0Cheng-Cheng Zhu1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaSmoking subject is an interesting area to study. The aim of this paper is to derive and analyze a model taking into account light smokers compartment, recovery compartment, and two relapses in the giving up smoking model. Stability of the model is obtained. Some numerical simulations are also provided to illustrate our analytical results and to show the effect of controlling the rate of relapse on the giving up smoking model.http://dx.doi.org/10.1155/2013/525461
spellingShingle Hai-Feng Huo
Cheng-Cheng Zhu
Influence of Relapse in a Giving Up Smoking Model
Abstract and Applied Analysis
title Influence of Relapse in a Giving Up Smoking Model
title_full Influence of Relapse in a Giving Up Smoking Model
title_fullStr Influence of Relapse in a Giving Up Smoking Model
title_full_unstemmed Influence of Relapse in a Giving Up Smoking Model
title_short Influence of Relapse in a Giving Up Smoking Model
title_sort influence of relapse in a giving up smoking model
url http://dx.doi.org/10.1155/2013/525461
work_keys_str_mv AT haifenghuo influenceofrelapseinagivingupsmokingmodel
AT chengchengzhu influenceofrelapseinagivingupsmokingmodel