Smoking Model Incorporate Anti-Smoking Campaign, Nicotine Gum, and Treatment

DOI

10.2991/aer.k.211222.005How to use a DOI?

Keywords

smoking; optimal control; anti-smoking campaign; nicotine gum; treatment

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.

Copyright

© 2021 The Authors. Published by Atlantis Press International B.V.

Open Access

This is an open access article under the CC BY-NC license.

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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  -