Abstract:
Hepatitis B is one of the world’s most common and severe infectious diseases. Worldwide, over 350
million people are currently estimated to be persistent carriers of the hepatitis B virus (HBV), with the
death of 1 million people from the chronic stage of HBV infection. In this work, developed a nonlinear
mathematical model for the transmission dynamics of HBV. We constructed the mathematical model
by considering vaccination, treatment, migration, and screening effects. We calculated both diseasefree
and endemic equilibrium points for our model. Using the next-generation matrix, an effective
reproduction number for the model is calculated. We also proved the asymptotic stability of both local
and global asymptotically stability of disease-free and endemic equilibrium points. By calculating
the sensitivity indices, the most sensitive parameters that are most likely to affect the disease’s
endemicity are identified. From the findings of this work, we recommend vaccination of the entire
population and screening all the exposed and migrants. Additionally, early treatment of both the
exposed class after screening and the chronically infected class is vital to decreasing the transmission
of HBV in the community
