✦ LIBER ✦

Dynamical behaviors of an HBV infection model with logistic hepatocyte growth

✍ Scribed by Jianquan Li; Kaifa Wang; Yali Yang

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 260 KB
Volume: 54
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.03.013

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✦ Synopsis

In this paper, a hepatitis B virus (HBV) infection model with logistic hepatocyte growth is investigated, and the basic reproduction number of HBV determining the extinction and the persistence of infection is obtained. When the basic reproduction number is less than one, the infection becomes extinct eventually; when the basic reproduction number is greater than one, the infection becomes persistent in vivo. Hopf bifurcation surface determining the stability of the chronic infection equilibrium is found, and the effect of all the parameters on stability of the chronic infection equilibrium is also discussed.

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