Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation
Recently, the role of the electronic cigarettes (e-cigarettes) in a way to reduce smoking is increasing. E-cigarettes are a device that delivers only the nicotine, and its use is considered less harmful to health compared with tobacco cigarettes. Smokers frequently make use of e-cigarettes as one of...
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Series: | Computational and Mathematical Methods in Medicine |
Online Access: | http://dx.doi.org/10.1155/2018/3738584 |
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doaj-f81784289a684eca917aef50e438f1bf2020-11-24T23:23:49ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182018-01-01201810.1155/2018/37385843738584Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking CessationJae Hun Jung0Anna Park1Il Hyo Jung2Department of Mathematics, Pusan National University, Busan 46241, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 46241, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 46241, Republic of KoreaRecently, the role of the electronic cigarettes (e-cigarettes) in a way to reduce smoking is increasing. E-cigarettes are a device that delivers only the nicotine, and its use is considered less harmful to health compared with tobacco cigarettes. Smokers frequently make use of e-cigarettes as one of the nonsmoking aid devices. In this work, we propose a mathematical model to analyze the effect of e-cigarettes on smoking cessation. The stability and the bifurcation of the model have been discussed. The parameter estimations from the observed data are drawn, and using the parameters, a reasonable smoking model has been designed. Moreover, by considering the sensitivity results depending on the basic reproduction number R0, the effective strategies that reduce the smokers are investigated. Numerical simulations of the model show that e-cigarettes may somewhat diminish the numbers of smokers, but it does not reduce the number of quitters ultimately.http://dx.doi.org/10.1155/2018/3738584 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jae Hun Jung Anna Park Il Hyo Jung |
spellingShingle |
Jae Hun Jung Anna Park Il Hyo Jung Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation Computational and Mathematical Methods in Medicine |
author_facet |
Jae Hun Jung Anna Park Il Hyo Jung |
author_sort |
Jae Hun Jung |
title |
Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation |
title_short |
Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation |
title_full |
Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation |
title_fullStr |
Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation |
title_full_unstemmed |
Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation |
title_sort |
qualitative and sensitivity analysis of the effect of electronic cigarettes on smoking cessation |
publisher |
Hindawi Limited |
series |
Computational and Mathematical Methods in Medicine |
issn |
1748-670X 1748-6718 |
publishDate |
2018-01-01 |
description |
Recently, the role of the electronic cigarettes (e-cigarettes) in a way to reduce smoking is increasing. E-cigarettes are a device that delivers only the nicotine, and its use is considered less harmful to health compared with tobacco cigarettes. Smokers frequently make use of e-cigarettes as one of the nonsmoking aid devices. In this work, we propose a mathematical model to analyze the effect of e-cigarettes on smoking cessation. The stability and the bifurcation of the model have been discussed. The parameter estimations from the observed data are drawn, and using the parameters, a reasonable smoking model has been designed. Moreover, by considering the sensitivity results depending on the basic reproduction number R0, the effective strategies that reduce the smokers are investigated. Numerical simulations of the model show that e-cigarettes may somewhat diminish the numbers of smokers, but it does not reduce the number of quitters ultimately. |
url |
http://dx.doi.org/10.1155/2018/3738584 |
work_keys_str_mv |
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1725563508573077504 |