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Dynamics of a delay differential equation model of hepatitis B virus infection.

Gourley, SA, Kuang, Y and Nagy, JD (2008) Dynamics of a delay differential equation model of hepatitis B virus infection. J Biol Dyn, 2 (2). pp. 140-153.

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We formulate and systematically study the global dynamics of a simple model of hepatitis B virus in terms of delay differential equations. This model has two important and novel features compared to the well-known basic virus model in the literature. Specifically, it makes use of the more realistic standard incidence function and explicitly incorporates a time delay in virus production. As a result, the infection reproduction number is no longer dependent on the patient liver size (number of initial healthy liver cells). For this model, the existence and the component values of the endemic steady state are explicitly dependent on the time delay. In certain biologically interesting limiting scenarios, a globally attractive endemic equilibrium can exist regardless of the time delay length.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Kuang, Y
Nagy, JD
Date : 16 May 2008
DOI : 10.1080/17513750701769873
Uncontrolled Keywords : Hepatitis B, Hepatitis B virus, Humans, Models, Theoretical, Virus Replication
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:33
Last Modified : 10 Jun 2019 13:09

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