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All Journal Journal of Mathematical and Fundamental Sciences Limits: Journal of Mathematics and Its Applications Eksakta : Berkala Ilmiah Bidang MIPA InPrime: Indonesian Journal Of Pure And Applied Mathematics Tarbiyah Wa Ta'lim: Jurnal Penelitian Pendidikan dan Pembelajaran
Heri Purnawan
Department Of Electrical Engineering, Universitas Islam Lamongan, Lamongan
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Earth & Planetary Sciences Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences

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Journal : Journal of Mathematical and Fundamental Sciences

 1 
Optimal Control in a Mathematical Model of Smoking Nur Ilmayasinta; Heri Purnawan
Journal of Mathematical and Fundamental Sciences Vol. 53 No. 3 (2021)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2021.53.3.4

Abstract

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.
Co-Authors Ar Rizqi, Ahmad Bustanul Ali Faroh, Rifky Aisyatul Ilmayasinta, Nur Ilmi, Ulul Muhammad Hasan Wahyudi Muhammad Mahbub Junaidi Resmi, Fitroh Rifky Aisyatul Faroh Rifky Aisyatul Faroh Sari Cahyaningtias Subiono -