Dotia, A. K., Ibrahim, M. O., Bello, K. A., Yisa, B. M., and Ahmed, B. M.2025-05-082025-05-0820154. Dotia, A. K., Ibrahim, M. O., Bello, K. A., Yisa, B. M. and Ahmed, B. M. (2015): Stability Analysis of HBV Epidemic Model with Non – Monotonic Incidence Function, Transactions of the Nigerian Association of Mathematical Physics, 1, 281 – 290. Published by Nigerian Association of Mathematical Physicshttps://uilspace.unilorin.edu.ng/handle/123456789/16426In this paper, we present an hepatitis B model with non monotonic incidence function. The model which is of the form of system of non linear differential equations, are constructed . This epidemic model is investigated for different classes of infectious diseases that can be transmitted through an effective contact with an infective individuals who are contagious(symptomatic and asymptomatic carrier). Mathematical analysis are carried out that determines the equilibria solutions and the stability analysis of the equilibria of the model using non linear Lyapunov function of Golt-Volterra type. In addition, we obtained the numerical simulation to verify the model predictions. The results suggest that the endemic nature of the model is approaching equilibrium with increase immunization program and other control measures put in place.enHepatitis BendemicStabilityequilibrium