Optimal Control for Smoking Epidemic Model

DOI

10.2991/assehr.k.210305.046How to use a DOI?

Keywords

Mathematical Model, Optimal Control, Runge Kutta Orde-4

Abstract

In this study, we used a mathematical model of the smoking epidemic which was divided into three sub-classes. In this model we provide four optimal controls, namely education campaign about cigarettes, vaccines, treatment and rehabilitation. To solve the problem of optimal control, we use the principle of maximum pontryagin, where the objective function is set to increase the population of individuals who quit smoking and reduce the number of smokers. In the solution, we use the numerical method namely Runge Kutta forward-backward sweep order4 and simulated using MATLAB with the values of initial parameters and conditions are given based on the results of a survey that conducted on high school students in several schools in Lamongan. The control provided in this study shows a decrease in the number of individual population of potential smokers and active smokers, as well as an increase in the number of individual ex-smokers. These results also indicate that the system gets the optimal solution according to certain values of the control level.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Nur Ilmayasinta
AU  - Elly Anjarsari
AU  - Moh W. Ahdi
PY  - 2021
DA  - 2021/03/08
TI  - Optimal Control for Smoking Epidemic Model
BT  - Proceedings of the 7th International Conference on Research, Implementation, and Education of Mathematics and Sciences (ICRIEMS 2020)
PB  - Atlantis Press
SP  - 323
EP  - 328
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210305.046
DO  - 10.2991/assehr.k.210305.046
ID  - Ilmayasinta2021
ER  -