University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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.

Full text not available from this repository.

Abstract

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
Authors :
NameEmailORCID
Gourley, SAs.gourley@surrey.ac.ukUNSPECIFIED
Kuang, YUNSPECIFIEDUNSPECIFIED
Nagy, JDUNSPECIFIEDUNSPECIFIED
Date : 16 May 2008
Identification Number : 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 : 17 May 2017 15:04
URI: http://epubs.surrey.ac.uk/id/eprint/835791

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800