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Abstract
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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
Submitted: August 26, 2011
Accepted: October 07, 2011
Published: August 25, 2012 |
Abstract:
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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.
Key words: Epidemic , equilibrium state, hepatitis, passive immunisation, stability, vaccines,
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Cite this Reference:
A.A. Momoh, M.O. Ibrahim, B.A. Madu and K.K. Asogwa, . Global Equilibrium Stability of Hepatitis B Model and Vaccination Impact. Research Journal of Mathematics and Statistics, (3): 57-62.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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