Smoking model incorporate anti-smoking campaign, nicotine gum, and treatment

Widayani, Heni and Lestari, Putri and Pagalay, Usman (2021) Smoking model incorporate anti-smoking campaign, nicotine gum, and treatment. Presented at International Conference on Science and Engineering (ICSE-UIN-SUKA 2021), 27 Oct 2021, UIN Sunan Kalijaga, Yogyakarta.

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Abstract

The dynamics model of smoking is a system of nonlinear differential equations of first order. The dynamics model of smoking consists of five subpopulations, namely potential smokers, light smokers, heavy smokers, smokers who temporarily quit smoking, and smokers who permanently quit smoking. The mathematical model can illustrate the rate of spread of smokers. This study discusses the dynamics model of smoking by giving controls, namely anti-smoking campaign, nicotine gum, and treatment. An anti-smoking campaign is given to potential smokers, nicotine gum is given to light smokers and smokers who temporarily quit smoking and also treatment is given to heavy smokers. The solution of the optimal control on the dynamics model of smoking is derived using Pontryagin maximum principle. This principle is applied to obtain optimal conditions and also get the state and co-state equations, which are then simulated using Runge-Kutta order 4. The numerical simulation result indicates that implementation of campaign and treatment program effectively to minimize the number of potential smoker population, light smokers, heavy smokers, and smokers who temporarily quit smoking, and to maximize the number of smokers population who permanently quit smoking.

Item Type: Conference (Paper)
Keywords: smoking; optimal control; anti-smoking campaign; nicotine gum; treatment
Subjects: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics
01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
11 MEDICAL AND HEALTH SCIENCES > 1117 Public Health and Health Services > 111708 Health and Community Services
11 MEDICAL AND HEALTH SCIENCES > 1117 Public Health and Health Services > 111799 Public Health and Health Services not elsewhere classified
01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics
Divisions: Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User: Heni Widayani
Date Deposited: 25 May 2022 14:28

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