Optimal Control in a Mathematical Model of Smoking

This paper presents a dynamic model of smoking with optimal control. The mathematical model is divided into 5 sub-classes, namely, non-smokers, occasional smokers, active smokers, individuals who have temporarily stopped smoking, and individuals who have stopped smoking permanently. Four optimal co...

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Autores principales:	Nur Ilmayasinta, Heri Purnawan
Formato:	article
Lenguaje:	EN
Publicado:	ITB Journal Publisher 2021
Materias:	fourth-order Runge-Kutta mathematical model numerical solutions optimal control Pontryagin maximum principle (PMP) Science Q Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/1a21a77e908a4f3989ea7734e4735330
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spelling	oai:doaj.org-article:1a21a77e908a4f3989ea7734e47353302021-12-03T07:44:09ZOptimal Control in a Mathematical Model of Smoking10.5614/j.math.fund.sci.2021.53.3.42337-57602338-5510https://doaj.org/article/1a21a77e908a4f3989ea7734e47353302021-12-01T00:00:00Zhttps://journals.itb.ac.id/index.php/jmfs/article/view/15146https://doaj.org/toc/2337-5760https://doaj.org/toc/2338-5510 This paper presents a dynamic model of smoking with optimal control. The mathematical model is divided into 5 sub-classes, namely, non-smokers, occasional smokers, active smokers, individuals who have temporarily stopped smoking, and individuals who have stopped smoking permanently. Four optimal controls, i.e., anti-smoking education campaign, anti-smoking gum, anti-nicotine drug, and government prohibition of smoking in public spaces are considered in the model. The existence of the controls is also presented. The Pontryagin maximum principle (PMP) was used to solve the optimal control problem. The fourth-order Runge-Kutta was employed to gain the numerical solutions. Nur IlmayasintaHeri PurnawanITB Journal Publisherarticlefourth-order Runge-Kuttamathematical modelnumerical solutionsoptimal controlPontryagin maximum principle (PMP)ScienceQScience (General)Q1-390ENJournal of Mathematical and Fundamental Sciences, Vol 53, Iss 3 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fourth-order Runge-Kutta mathematical model numerical solutions optimal control Pontryagin maximum principle (PMP) Science Q Science (General) Q1-390
spellingShingle	fourth-order Runge-Kutta mathematical model numerical solutions optimal control Pontryagin maximum principle (PMP) Science Q Science (General) Q1-390 Nur Ilmayasinta Heri Purnawan Optimal Control in a Mathematical Model of Smoking
description	This paper presents a dynamic model of smoking with optimal control. The mathematical model is divided into 5 sub-classes, namely, non-smokers, occasional smokers, active smokers, individuals who have temporarily stopped smoking, and individuals who have stopped smoking permanently. Four optimal controls, i.e., anti-smoking education campaign, anti-smoking gum, anti-nicotine drug, and government prohibition of smoking in public spaces are considered in the model. The existence of the controls is also presented. The Pontryagin maximum principle (PMP) was used to solve the optimal control problem. The fourth-order Runge-Kutta was employed to gain the numerical solutions.
format	article
author	Nur Ilmayasinta Heri Purnawan
author_facet	Nur Ilmayasinta Heri Purnawan
author_sort	Nur Ilmayasinta
title	Optimal Control in a Mathematical Model of Smoking
title_short	Optimal Control in a Mathematical Model of Smoking
title_full	Optimal Control in a Mathematical Model of Smoking
title_fullStr	Optimal Control in a Mathematical Model of Smoking
title_full_unstemmed	Optimal Control in a Mathematical Model of Smoking
title_sort	optimal control in a mathematical model of smoking
publisher	ITB Journal Publisher
publishDate	2021
url	https://doaj.org/article/1a21a77e908a4f3989ea7734e4735330
work_keys_str_mv	AT nurilmayasinta optimalcontrolinamathematicalmodelofsmoking AT heripurnawan optimalcontrolinamathematicalmodelofsmoking
_version_	1718373372264448000

Optimal Control in a Mathematical Model of Smoking

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