TY - JOUR
ID - 19749
T1 - The analysis of a disease-free equilibrium of Hepatitis B model
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
A1 - Akbari, Reza
A1 - Vahidian Kamyad, Ali
A1 - Heydari, Ali akbar
A1 - Heydari, Aghileh
Y1 - 2016
PY - 2016/06/01
VL - 03
IS - 2
SP - 1
EP - 11
KW - Hepatitis B virus (HBV)
KW - Basic reproduction number ($R_0$)
KW - Compound matrices
KW - Disease-Free equilibrium state
KW - Global stability
DO -
N2 - 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 $R_0<1$, the disease-free equilibrium is globally stable and the disease always dies out and if $R_0>1$, the disease-free equilibrium is unstable and the disease is uniformly persistent.
UR - http://scma.maragheh.ac.ir/article_19749.html
L1 - http://scma.maragheh.ac.ir/pdf_19749_d6277da45d18a2b9e2617791b8dbcc92.html
ER -