Momoh A.A., Ibrahim M.O., Madu B.A., Asogwa K.K.
Department of Mathematics, Usmanu Danfodiyo University, Sokoto State, Nigeria; Department of Mathematics and Statistics, University of Maiduguri, Borno State, Nigeria
Momoh, A.A., Department of Mathematics, Usmanu Danfodiyo University, Sokoto State, Nigeria; Ibrahim, M.O., Department of Mathematics, Usmanu Danfodiyo University, Sokoto State, Nigeria; Madu, B.A., Department of Mathematics and Statistics, University of Maiduguri, Borno State, Nigeria; Asogwa, K.K., Department of Mathematics, Usmanu Danfodiyo University, Sokoto State, Nigeria
In this study, researchers propose an MSEIR model with passive immunisation, exposed individual therapy and infectious hepatitis B therapy to describe the dynamics of HBV transmission. The researchers established the disease free equilibrium and epidemic equilibrium states of the model and analyse for stability of the epidemic equilibrium state using Bellman and Cooke's theorem. We found out the epidemic equilibrium state was stable which implies that the MSEIR model can be used for predicting the long-term effectiveness of the immunisation programme combined with Exposed individuals therapy and infectious hepatitis therapy in sustaining a population. © Medwell Journals, 2011.
