Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)

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

Authors
Heni Widayani1, *, Putri Lestari1, Usman Palagay1
1Department of Mathematics, UIN Maulana Malik Ibrahim Malang, Malang, Indonesia
*Corresponding author. Email: heniwidayani@mat.uin-malang.ac.id
Corresponding Author
Heni Widayani
Available Online 23 December 2021.
DOI
https://doi.org/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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Volume Title
Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)
Series
Advances in Engineering Research
Publication Date
23 December 2021
ISBN
978-94-6239-494-0
ISSN
2352-5401
DOI
https://doi.org/10.2991/aer.k.211222.005How to use a DOI?
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.

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  - https://doi.org/10.2991/aer.k.211222.005
ID  - Widayani2021
ER  -