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the analysis of a disease-free equilibrium of hepatitis b model
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نویسنده
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akbari reza ,vahidian kamyad ali ,heydari ali akbar ,heydari aghileh
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منبع
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sahand communications in mathematical analysis - 2016 - دوره : 3 - شماره : 2 - صفحه:1 -11
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چکیده
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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, r0, is derived. the results show that the dynamics of the model is completely determined by the basic reproductive number r0. if r0 < 1, the disease-free equilibrium is globally stable and the disease always dies out and if r0 > 1, the disease-free equilibrium is unstable andthe disease is uniformly persistent.
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کلیدواژه
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hepatitis b virus (hbv) ,basic reproduction number (r0) ,compound matrices ,disease-free equilibrium state ,global stability
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آدرس
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payame noor university, ایران, ferdowsi university of mashhad, ایران, research center for infection control and hand hygiene, mashhad university of medical sciences, mashhad, iran., ایران, payame noor university, ایران
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Authors
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