Abstract
In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection with HBV DNA-containing capsids. At first, the existence and uniqueness of the global positive solution are obtained. Secondly, the sufficient conditions are derived that the solution of the stochastic system fluctuates around the disease-free equilibriumE0and the endemic equilibriumE∗. In the end, some numerical simulations are implemented to support our analytical results.
Highlights
Hepatitis B virus (HBV) infection, which is a typical liver disease, has raised great attention all over the world [1]
It is likely to suffer from other diseases such as cirrhosis of the liver for those patients who have been sustained infected by Hepatitis B virus [2, 3]. e essence of HBV infection lies in the transformation of the DNA molecule of HBV [2, 4, 5]
In order to better explore the mechanism of HBV infection, Manna and Chakrabarty for the first time came up with the model of chronic HBV infection including HBV DNA-containing capsids [9], and their model is given below:
Summary
Hepatitis B virus (HBV) infection, which is a typical liver disease, has raised great attention all over the world [1]. It is generally divided into acute and chronic. Is paper is organized as follows: in the Section 2, it is proved that there is a unique global positive solution of system (3) with initial value (4). A brief discussion is given in Section 6 to conclude this work
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