Optimal Campaign in the Smoking Dynamics
We present the optimal campaigns in the smoking dynamics. Assuming that the giving up smoking model is described by the simplified 𝑃𝐿𝑆𝑄 (potential-light-smoker-quit smoker) model, we consider two possible control variables in the form of education and treatment campaigns oriented to decrease the att...
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Hindawi Limited
2011-01-01
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| Series: | Computational and Mathematical Methods in Medicine |
| Online Access: | http://dx.doi.org/10.1155/2011/163834 |
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doaj-f9e56835f9c947e5b42b4866a768b92f2020-11-25T00:59:34ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182011-01-01201110.1155/2011/163834163834Optimal Campaign in the Smoking DynamicsGul Zaman0Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, H-12, Islamabad 64000, PakistanWe present the optimal campaigns in the smoking dynamics. Assuming that the giving up smoking model is described by the simplified 𝑃𝐿𝑆𝑄 (potential-light-smoker-quit smoker) model, we consider two possible control variables in the form of education and treatment campaigns oriented to decrease the attitude towards smoking. In order to do this we minimize the number of light (occasional) and persistent smokers and maximize the number of quit smokers in a community. We first show the existence of an optimal control for the control problem and then derive the optimality system by using the Pontryagin maximum principle. Finally numerical results of real epidemic are presented to show the applicability and efficiency of this approach.http://dx.doi.org/10.1155/2011/163834 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gul Zaman |
| spellingShingle |
Gul Zaman Optimal Campaign in the Smoking Dynamics Computational and Mathematical Methods in Medicine |
| author_facet |
Gul Zaman |
| author_sort |
Gul Zaman |
| title |
Optimal Campaign in the Smoking Dynamics |
| title_short |
Optimal Campaign in the Smoking Dynamics |
| title_full |
Optimal Campaign in the Smoking Dynamics |
| title_fullStr |
Optimal Campaign in the Smoking Dynamics |
| title_full_unstemmed |
Optimal Campaign in the Smoking Dynamics |
| title_sort |
optimal campaign in the smoking dynamics |
| publisher |
Hindawi Limited |
| series |
Computational and Mathematical Methods in Medicine |
| issn |
1748-670X 1748-6718 |
| publishDate |
2011-01-01 |
| description |
We present the optimal campaigns in the smoking dynamics. Assuming
that the giving up smoking model is described by the simplified 𝑃𝐿𝑆𝑄 (potential-light-smoker-quit smoker) model, we consider two possible control variables in the form of
education and treatment campaigns oriented to decrease the attitude towards smoking.
In order to do this we minimize the number of light (occasional) and persistent smokers
and maximize the number of quit smokers in a community. We first show the existence
of an optimal control for the control problem and then derive the optimality system by
using the Pontryagin maximum principle. Finally numerical results of real epidemic are
presented to show the applicability and efficiency of this approach. |
| url |
http://dx.doi.org/10.1155/2011/163834 |
| work_keys_str_mv |
AT gulzaman optimalcampaigninthesmokingdynamics |
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