Computational and Mathematical Methods in Medicine
Volume 7 (2006), Issue 1, Pages 3-13

Modelling the Hepatitis C with Different Types of Virus Genome

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Received 13 April 2006; Revised 2 June 2006; Accepted 18 July 2006

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Hepatitis C virus (HCV) is one of the leading known causes of liver disease in the world. The HCV is a single-stranded RNA virus. The genomes of HCV display significant sequence heterogeneity and have been classified into types and subtypes. Types from 1 to 11 have so far been recognized, each type having a variable number of subtypes. It has been confirmed that 90% approximately of the isolates HCV infections in Egypt belong to a single subtype (4a) [10]. In this paper, we construct a mathematical model to study the spread of HCV-subtype 4a amongst the Egyptian population. The relation between HCV-subtype 4a and the other subtypes has also been studied. The values of reproduction numbers R01, R02 have been derived [5]. Also, threshold conditions for the value of the transmission rates k1 and k02, in terms of R01, R02 and the mutation factor μ have been determined to insure that the disease will die out. If the conditions fail to happen the disease takes off and becomes endemic.