Qualitative analysis of a mathematical model of transmission and control of tuberculosis disease

This study presents a qualitative analysis of Susceptible – Latent – Infective-Recovered (SLIR) model for Tuberculosis (TB) transmission. The model captures the interaction between susceptible individuals, latent infection, active cases, and control measures. The model’s behavior is analyzed through feasibility, positivity, equilibria, and stability. It is shown that TB infection can be stable for both endemic and disease-free equilibrium. The findings provide insight into TB transmission and control, informing early case detection, effective treatment, and evidence-based decision-making to reduce the global burden of TB.