title: Optimal campaign in the smoking dynamics.
abstract: 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.
authors: Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Islamabad, Pakistan. gzaman@camp.nust.edu.pk
authors: Gul
authors: G
authors: Zaman
mesh_terms: D000465:Algorithms; D001290:Attitude; D050936:Basic Reproduction Number; D003198:Computer Simulation; D006266:Health Education; D006293:Health Promotion; D006801:Humans; D008954:Models, Biological; D011157:Population Dynamics; D012907:Smoking / Q000453:epidemiology* / Q000523:psychology / Q000628:therapy; D016540:Smoking Cessation; D000074606:Smoking Prevention