The dynamics of tuberculosis transmission with optimal control analysis in Indonesia

Abstract

This paper proposes the dynamics of tuberculosis (TB) transmission in Indonesia through a mathematical model. We determine the reproduction number and the equilibria. The parameters model is estimated based on TB data in Indonesia. We obtain the reproduction number of the TB model is R0 = 10.9635. This shows that eliminating TB in Indonesia requires more efforts. Thus, the optimal control strategy is performed to assess the effect of interventions in reducing TB transmission. We use three controls term in the form of prevention and two treatments. The simulation results indicate that the performance of three controls is the best strategy to reduce the spreading of TB disease among all strategies.