Analysis of the Stability of Anti-Tuberculosis Drug Administration in Cases of Tuberculosis in Children Using the SIR Model

The SIR model is a commonly used mathematical model to analyze the spread of disease. One example of a disease that can be studied using this model is tuberculosis (TBC). TBC is a contagious disease that is transmitted through the air. The study aims to examine the SIR model with administration anti-tuberculosis medicine. The result obtained when he stability of the disease-free equilibrium point is locally asymptotically stable. Conversely, if then the stability of the disease endemic equilibrium point is locally asymptotically stable. Administration anti-tuberculosis medicine in the model plays a significant role to reduce the spread of the disease when the minimum level of administration anti-tuberculosis medicine.