Dotia, A. K.Ibrahim, M. O.Bello, K. A.Yisa, B. M.Ahmed, B. M.2023-05-112023-05-112015-11-01Dotia et al (2015)https://uilspace.unilorin.edu.ng/handle/20.500.12484/10090In this paper, we present an hepatitis B model with non-monotonic incidence function. The model, which is of the form of system of nonlinear 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 stability analysis of the equilibria of the model, using nonlinear Lyapunov function of Goh-Volterra type. In addition, we obtained the numerical simulation to verify the model predictions. The result suggest that the endemic nature of the model is approaching equilibrium with increase immunization program and other control measures put in place.enHepatitis BEndemicStabilityEquilibriumResearch Subject Categories::MATHEMATICSArticle