Modeling the Impact of Treatment on Hepatitis B Burden: Mathematical Analysis and Simulation
摘要
Hepatitis B virus (HBV) infection represents a major public health threat, with high morbidity and mortality worldwide. Despite the availability of various drugs for its treatment, the disease still remains a significant global health concern. Chronic hepatitis B (CHB) is described in four phases, and among its long-term complications, cirrhosis and liver cancer cause a large burden. To investigate the impact of treatment on the disease burden, we formulate and analyze a new deterministic model as a system of nonlinear differential equations that includes these epidemiological characteristics of the disease, accounting for the classification of treated patients according to the phase of the disease. Theoretical analysis using standard dynamical systems approach exhibits a transcritical bifurcation. Thus, Hepatitis B (HB) can either be eradicated when the basic reproduction number