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2012 (Vol. 4, Issue: 3)
Article Information:

Global Equilibrium Stability of Hepatitis B Model and Vaccination Impact

A.A. Momoh, M.O. Ibrahim, B.A. Madu and K.K. Asogwa
Corresponding Author:  A.A. Momoh 

Key words:  Epidemic , equilibrium state, hepatitis, passive immunisation, stability, vaccines,
Vol. 4 , (3): 57-62
Submitted Accepted Published
August 26, 2011 October 07, 2011 August 25, 2012

In this paper, we propose an MSEIR model with passive immunisation, exposed individual therapy and infectious hepatitis B therapy to describe the dynamics of HBV transmission. We 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.
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  Cite this Reference:
A.A. Momoh, M.O. Ibrahim, B.A. Madu and K.K. Asogwa, 2012. Global Equilibrium Stability of Hepatitis B Model and Vaccination Impact.  Research Journal of Mathematics and Statistics, 4(3): 57-62.
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ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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