The stability analyses of the mathematical models of hepatitis C virus infection

Chong, Maureen Siew Fang, Shahrill, Masitah, Crossley, Laurie and Madzvamuse, Anotida (2015) The stability analyses of the mathematical models of hepatitis C virus infection. Modern Applied Science, 9 (3). pp. 250-271. ISSN 1913-1844

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Abstract

There are two mathematical models of Hepatitis C virus (HCV) being discussed; the original model of HCV viral dynamics (Neumann et al., 1998) and its extended model (Dahari et al., 2007). The key aspects of the mathematical models have provided resources for analysing the stability of the uninfected and the infected steady states, in evaluating the antiviral effectiveness of therapy and for estimating the ranges of values of the parameters for clinical treatment. The original model is considered to be a deterministic model because of the predictive nature of the antiviral therapy within the constant target cells. Numerical simulations are carried out in the extended model, to explain the stability of the steady states in the absence or existence of migration in hepatocytes and, drug efficacy in treating HCV infection.

Item Type: Article
Keywords: Mathematical model, extended model, stability analysis, HCV
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Anotida Madzvamuse
Date Deposited: 21 Jan 2015 11:05
Last Modified: 23 Mar 2017 08:21
URI: http://sro.sussex.ac.uk/id/eprint/52312

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