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

A. A. Momoh ； M. O. Ibrahim ； B. A. Madu

《Research Journal of Applied Sciences, Engineering and Technology》 3卷9期 (2011/09) Pp. 905-909

並列摘要

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 λ_1=-μ, λ_2=-μ, λ_3=-(ε+μ), λ_4=-(γ+μ) andλ_5=δB/μ-μ hence the disease free equilibrium is stable if δB/μ is less thanμ (where δB/μ is number of susceptible individuals produced).

並列關鍵字

Disease free equilibrium state ； epidemic equilibrium state ； hepatitis B ； infectious diseases ； stability analysis