Optimal Campaign in the Smoking Dynamics | Zendy

Gul Zaman | Zendy

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Optimal Campaign in the Smoking Dynamics

Author(s) -

Gul Zaman

Publication year - 2011

Publication title -

computational and mathematical methods in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.462

H-Index - 48

eISSN - 1748-6718

pISSN - 1748-670X

DOI - 10.1155/2011/163834

Subject(s) - optimal control , pontryagin's minimum principle , dynamics (music) , control (management) , quit smoking , order (exchange) , mathematical optimization , system dynamics , computer science , mathematics , control theory (sociology) , medicine , smoking cessation , psychology , economics , artificial intelligence , finance , pathology , pedagogy

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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