Asmianto, Mochammad Hafiizh, Kridha Pusawidjayanti, Nur Ilmayasinta, Yolanda Norasia
Tuberculosis (TB) remains a major challenge to global health systems, particularly in developing countries, including Indonesia. This study aims to investigate optimal control strategies that can be applied to a mathematical model of TB by dividing the population into five subpopulations. The model divides the population into compartments representing susceptible, vaccinated, exposed, infected and Latent individuals. The constructed mathematical model considers strategies that can be applied to tuberculosis, such as campaign education and hospitalization. The result of study demonstrate that implementing optimized control strategies can significantly reduce TB prevalence and associated healthcare costs, providing valuable insight for policymakers and healthcare practitioners in developing more effective and sustainable TB management programs. © 2025 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Universitas Negeri Malang, Malang, Indonesia; Department of Mathematic Education, Universitas Islam Lamongan, Lamongan, Indonesia; Department of Mathematics, UIN Walisongo Semarang, Semarang, Indonesia
