Hepatitis B Virus – Infectious In Debre Berhan Town, Ethiopia Analyzed by Mathematical Modeling Concepts

In this work, we consider a non-linear mathematical model to study the dynamics of Hepatitis B in the case of Debre Berhan town, Ethiopia. We found the basic reproduction number of the dynamical system is which depends on seven parameters. We also found that the numerical value of the basic reproduction number based on the real data collected from Debre Berhan town community is R₀ = 1.134979926 > 1. This in principle shows that Hepatitis B virus is spreads in the community. We also found that the disease free equilibrium point is unstable and the endemic equilibrium point is stable. To control the disease, we identify the control parameter. The basic control parameter that can inhibit the spread of the disease is unaware contact rate β₁ = 0.041405984. Therefore to be the reproduction number is less than one the parameter α₁must be less than 0.041405984. The effect of other control parameters that can decrease the basic reproduction number are discussed in detail in their subsections.