Dynamics of Hepatitis C Virus with Saturation Incidence Rate

DOI: 10.5176/2251-1911_CMCGS13.47

Authors: Ram Keval

Abstract:

In this paper, a mathematical model of Hepatitis C virus with saturation incidence rate has been considered. It is a
system of ordinary differential equations with four state variables. If basic reproduction number, 0 R 1, disease free equilibrium point is globally stable and endemic equilibrium point does not exist. If 0 R 1, endemic equilibrium point exist and locally asymptotically stable. Numerically, the model succeeded in showing the dynamic behavior of HCV as seen in patients.

Keywords: Hepatitis C Virus, Interferon, Ribavirin, Global stability.