Mathematical solutions for Hepatitis B virus infection in Nigeria

Abstract

This paper is an analysis of the transmission dynamics and control of hepatitis B virus (HBV) infection in Nigeria using mathematical model R_c was obtained as the effective basic  reproduction number, and its values computed using 6 different control  strategies. Result shows that with 25 years waning rate of vaccine, HBV  cannot be controlled through vaccination of new births or of susceptible individuals before being sexually active at any coverage rate. Two feasible solutions to the country’s HBV infection menace were obtained. The first is condom usage of 20% by sexually active individuals with 66% vaccination coverage of new births and 20% vaccination coverage each of sexually active and yet to be sexually active susceptible individuals. The second  feasible solution is 20% condom usage with 30% vaccination coverage of sexually active susceptible individuals.

Keywords: Hepatitis B virus, Effective basic reproduction number, Vaccination coverage