the analysis of a disease-free equilibrium of hepatitis b model
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abstract
in this paper we study the dynamics of hepatitis b virus (hbv) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring and also through contact with infective individuals. stability of the disease-free steady state is investigated. the basic reproductive rate, $r_0$, is derived. the results show that the dynamics of the model is completely determined by the basic reproductive number $r_0$. if $r_01$, the disease-free equilibrium is unstable and the disease is uniformly persistent.
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Journal title:
sahand communications in mathematical analysisجلد ۳، شماره ۲، صفحات ۱-۱۱
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