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Abstract
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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
Submitted: 2011 June, 21
Accepted: 2011 August, 16
Published: 2011 September, 20 |
Abstract:
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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).
Key words: Disease free equilibrium state, epidemic equilibrium state, hepatitis B, infectious diseases, stability analysis, ,
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Cite this Reference:
A.A. Momoh, M.O. Ibrahim and B.A. Madu, . Stability Analysis of an Infectious Disease Free Equilibrium of Hepatitis B Model. Research Journal of Applied Sciences, Engineering and Technology, (09): 905-909.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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