Hepatitis B Virus Disease: a Mathematical Model for Vertical Transmission with Treatment Strategy

Abstract

This paper presents a mathematical model to capture all essential information on the impact of treatment of hepatitis B vertical transmission. In this study the treatment induced reproduction number is compared with the basic reproduction number to assess the possible benefits to be obtained from this control measure. Numerical results and sensitivity analysis are carried out to validate the efficacy of the proposed mathematical model. Findings identified important determinants which influence the dynamics of the disease. This model indicates the presence of treatment, transmission of infection decreases, implying that the number of acute and chronic infected adult women decrease as well, resulting in fewer infected newborn babies.