Mathematical modeling and simulation of hepatitis B transmission dynamics with passive immunity and control strategies

Hepatitis B Virus (HBV) is a continued threat to mankind's health killing hundreds of thousands of people every year and thus calls for control and prevention measures to be put in place. This research constructs a deterministic mathematical model to capture the transmission dynamics of HBV and embracing the control measures including universal immunization of the infants at birth, screening, as well as treatment of the both the acute and chronic cases. We employ the NGM technique to estimate the control reproduction number Rc and also study the stability of the IFE. The study findings revealed the fact that the IFE is both locally and globally asymptotic stability if Rc