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2011 (Vol. 3, Issue: 09)
Article Information:

Stability Analysis of an Infectious Disease Free Equilibrium of Hepatitis B Model

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

Key words:  Disease free equilibrium state, epidemic equilibrium state, hepatitis B, infectious diseases, stability analysis, ,
Vol. 3 , (09): 905-909
Submitted Accepted Published
2011 June, 21 2011 August, 16 2011 September, 20
Abstract:

In this research study, we proposed an (M-S-E-I-R) model to understand the transmission dynamics and control of HBV taking into consideration passive immunisation, treatment of exposed individuals at latent period and infectious Hepatitis B treatment. We established the disease free equilibrium state and epidemic equilibrium state of the model. Stability analysis was carried out on the disease free equilibrium state and it was found that λ1 = -μ, λ2 = -μ, λ3 = -(ε+μ), λ4 = -(γ+μ) and λ5 = δB/μ -μ hence the disease free equilibrium is stable if δB/μ is less than μ (where δB/μ is number of susceptible individuals produced).
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  Cite this Reference:
A.A. Momoh, M.O. Ibrahim and B.A. Madu, 2011. Stability Analysis of an Infectious Disease Free Equilibrium of Hepatitis B Model.  Research Journal of Applied Sciences, Engineering and Technology, 3(09): 905-909.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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