the analysis of a disease-free equilibrium of hepatitis b model

Authors

reza akbari

department of mathematical sciences, payame noor university, p.o.box 19395-3697, tehran, iran. ali vahidian kamyad

department of mathematics sciences, university of ferdowsi, mashhad, iran. ali akbar heydari

research center for infection control and hand hygiene, mashhad university of medical sciences, mashhad, iran. aghileh heydari

department of mathematical sciences, payame noor university, p.o.box 19395-3697, tehran, iran.

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 analysis

جلد ۳، شماره ۲، صفحات ۱-۱۱

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