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2011 (Vol. 3, Issue: 3)
Article Information:

Stability of Passive Immunisation and Efficacy of Vaccines of Hepatitis B Model

A.A. Momoh, M.O. Ibrahim and B.A. Madu
Corresponding Author:  Abdulfatai Atte Momoh 

Key words:  Equilibrium state, epidemic, Hepatitis B, immunisation, passive, stability, vaccines
Vol. 3 , (3): 107-110
Submitted Accepted Published
2011 June, 21 2011 August, 07 2011 September, 25
Abstract:

The phenomenon of passive immunisation in disease control models, where a stable epidemic equilibrium state co exist with a stable disease free equilibrium when associated eigen values are all negative, has important implication for disease control. In this study, we modelled the effect of passive immunisation and infectious hepatitis B treatment on the spread and control of the disease. We established the existence of equilibrium states and analyse the disease free equilibrium for stability. It was established that λ1 = -μ, λ2 = -μ, λ3 = -(γ + μ) and λ4 = (δB / μ) - μ hence, the disease free equilibrium state will be stable if (δB / μ) < μ i.e., (number of susceptible individuals produced is less than natural death rate). Thus, effort should be intensify in increasing the duration of efficacy of the vaccines used in passive immunisation programme.
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  Cite this Reference:
A.A. Momoh, M.O. Ibrahim and B.A. Madu, 2011. Stability of Passive Immunisation and Efficacy of Vaccines of Hepatitis B Model.  Research Journal of Mathematics and Statistics, 3(3): 107-110.
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ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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