Mathematical Analysis of Hepatitis B Virus Model with Interventions in Taraba State, Nigeria

Abstract

A new version of a mathematical model for the dynamics of the Hepatitis B Virus (HBV) with a combination of three interventions was proposed. The primary focus of the study was to combine treatment, vaccination, and media campaigns as control strategies for reducing the spread of HBV. The study established the existence of a disease-free steady state of the model. The disease-free steady state was both locally and globally asymptotically stable. Additionally, the numerical results revealed that combining the three interventions is the best control strategy for curbing the menace of HBV. The study suggested that more effective campaign efforts should be supplemented with other major control strategies to get substantial paybacks in curbing the menace of HBV. Hepatitis B Virus (HBV), Intervention Stability, Steady-State