Asmianto Asmianto, Kridha Pusawidjayanti, Vita Kusumasari
This study aimed to investigate optimal strategies in dynamic models of smoking. We used a mathematical model of smoking divided into 3 subpopulations: potential smokers (non-smokers), active smokers who smoke daily, and people who have quit smoking permanently. We provide three variables control strategy to mathematical models including education related to the dangers of cigarettes for health, vaccination and rehabilitation. In solving optimisation problems, this research uses the Pontryagin maximum principle method. Furthermore, the 4th-order range kutta method was used to implement numerical solutions and Matlab software to simulate dynamic models of smokers who had been given control. Based on the simulation results, it was found that the controls provided effectively reduced the number of smokers and increased the number of people who quit smoking. © 2024 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Malang, Malang, Indonesia
