Title of article
The analysis of a disease-free equilibrium of Hepatitis B model
Author/Authors
Akbari، Reza نويسنده Department of Computer Engineering and Information Technology , , Vahidian Kamyad، Ali نويسنده , , Heydari، Ali Akbar نويسنده Infectious Diseases Preventable by Vaccine Research Center, Mashhad, IR Iran , , Aghileh Heydari، Aghileh Heydari نويسنده Aghileh Heydari, Aghileh Heydari
Issue Information
دوفصلنامه با شماره پیاپی سال 2016
Pages
11
From page
1
To page
11
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, 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 and
the disease is uniformly persistent.
Journal title
Sahand Communications in Mathematical Analysis
Serial Year
2016
Journal title
Sahand Communications in Mathematical Analysis
Record number
2390927
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