Designing optimal control by incorporating education, vaccination, and rehabilitation in smoking dynamics.

Autor: Asmianto, Asmianto, Pusawidjayanti, Kridha, Kusumasari, Vita
Předmět:
Zdroj: AIP Conference Proceedings; 2024, Vol. 3235 Issue 1, p1-5, 5p
Abstrakt: 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 runge 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index