MATHunesa: Jurnal Ilmiah Matematika
Vol. 12 No. 1 (2024)

STRATEGI KONTROL OPTIMAL PADA SISTEM DINAMIK PEROKOK

Asmianto Asmianto (Departemen Matematika, FMIPA, Universitas Negeri Malang)
Kridha Pusawidjayanti (Departemen Matematika, FMIPA, Universitas Negeri Malang)
Vita Kusumasari (Departemen Matematika, FMIPA, Universitas Negeri Malang)



Article Info

Publish Date
10 Jan 2024

Abstract

This study aimed to investigate optimal strategies in dynamic models of smoking. The smoking dynamic model is divided into 3 subpopulations including potential smokers (non-smokers), active smokers who smoke daily, and people who have quit smoking permanently. There are five variables of the smoking dynamic model control strategy, including education related to the dangers of smoking for health, vaccination, tobacco taxation, treatment, and rehabilitation. In solving optimization problems, this study uses the Maximum Pontryagin Principle method. Furthermore, the 4th-order runge kutta method was used to implement numerical solutions and Matlab Software to simulate a control model of smoking dynamics. Based on the simulation results, it can be seen that the control provided is effective in reducing the number of smokers and increasing the number of people who quit smoking.

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Journal Info

Abbrev

mathunesa

Publisher

Subject

Mathematics

Description

MATHunesa is a mathematical scientific journal published by the Department of Mathematics, Faculty of Mathematics and Natural Sciences, The State University of Surabaya with e-ISSN 2716-506X and p-ISSN 2301-9115. This journal is published every four months in April, August, and December. One volume ...