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2012 (Vol. 4, Issue: 5)
Article Information:

Stability Analysis of Mathematical Model of Hepatitis B

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

Key words:  Epidemic, equilibrium state, Hepatitis B, immunisation, passive, stability, vaccines
Vol. 4 , (5): 534-537
Submitted Accepted Published
August 26, 2011 September 25, 2011 September 20, 2012

In this research study, we developed an MSIR model to understand the effect of combining passive immunisation with treatment of infectious hepatitis B in controlling the spread of hepatitis B. The administration of HBIG** vaccines at birth protect children from early infection of hepatitis B but the efficacy of the vaccines expires with time. We established the existence of equilibrium states and analyse the epidemic equilibrium state using Bellman and Cooke’s theorem. We found out that the epidemic equilibrium state is stable when the contact rate β is less than 0.8 and becomes unstable at a contact rate 0.8 and above. Hence, effort must be made in bringing down the contact rate and also increasing the duration of efficacy of vaccines used in passive immunisation.
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  Cite this Reference:
A.A. Momoh, M.O. Ibrahim, B.A. Madu and K.K. Asogwa, 2012. Stability Analysis of Mathematical Model of Hepatitis B.  Current Research Journal of Biological Sciences, 4(5): 534-537.
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ISSN (Online):  2041-0778
ISSN (Print):   2041-076X
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