Journal of Advances in Mathematics and Computer Science

Abstract

We use the SIR model Kermack and Mckendrickand for hepatitis B with vaccination. The main goal is to use existing clinical hepatitis B data from the biostatistics Department of the Tano North District Health Directorate to formulate a mathematical model to understand the dynamics in the Tano North District and assist decision makers to formulate the best ideas to prevent, control and eradicate the disease. Analyses is made of the existence and stability of the disease free and endemic equilibria. It is proven that the disease free equilibrium is locally asymptotically stable if the basic reproductive ratio, R₀< 1 and when R₀ > 1 we have the endemic equilibrium. MATLAB was used for the programming and simulations.