publication . Article . 2015

The Stability Analyses of the Mathematical Models of Hepatitis C Virus Infection

Chong, Maureen Siew Fang; Shahrill, Masitah; Crossley, Laurie; Madzvamuse, Anotida;
Open Access
  • Published: 19 Jan 2015 Journal: Modern Applied Science, volume 9 (issn: 1913-1844, eissn: 1913-1852, Copyright policy)
  • Publisher: Canadian Center of Science and Education
  • Country: United Kingdom
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 exte...
Subjects
free text keywords: Clinical treatment, Deterministic system, Mathematics, Hepatitis C virus, medicine.disease_cause, medicine, Viral dynamics, Mathematical optimization, Mathematical model, Antiviral therapy, Virology, QA299
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