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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
Submitted: August 26, 2011
Accepted: September 25, 2011
Published: September 20, 2012 |
Abstract:
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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.
Key words: Epidemic, equilibrium state, Hepatitis B, immunisation, passive, stability, vaccines
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Cite this Reference:
A.A. Momoh, M.O. Ibrahim, B.A. Madu and K.K. Asogwa, . Stability Analysis of Mathematical Model of Hepatitis B. Current Research Journal of Biological Sciences, (5): 534-537.
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ISSN (Online): 2041-0778
ISSN (Print): 2041-076X |
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