Smoking Model Incorporate Anti-Smoking Campaign, Nicotine Gum, and Treatment
- 10.2991/aer.k.211222.005How to use a DOI?
- smoking; optimal control; anti-smoking campaign; nicotine gum; treatment
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.
- © 2021 The Authors. Published by Atlantis Press International B.V.
- Open Access
- This is an open access article under the CC BY-NC license.
Cite this article
TY - CONF AU - Heni Widayani AU - Putri Lestari AU - Usman Palagay PY - 2021 DA - 2021/12/23 TI - Smoking Model Incorporate Anti-Smoking Campaign, Nicotine Gum, and Treatment BT - Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021) PB - Atlantis Press SP - 27 EP - 34 SN - 2352-5401 UR - https://doi.org/10.2991/aer.k.211222.005 DO - 10.2991/aer.k.211222.005 ID - Widayani2021 ER -