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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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1748-670X 1748-6718 |