A Mathematical Study of Hepatitis C Virus Model During Drug Therapy Treatment

In this article, the dynamical behaviour of mathematical model for the hepatitis C virus is presented. This model consists of five ordinary differential equations, where the compartments are: healthy epithelial cells, infected epithelial cells, viruses, T lymphocyte, and the amount of drug. Existence and uniqueness conditions for the model are derived. Equilibrium points along with basic reproduction number are also calculated. The first Lyapunov method has been used to achieve the local stability at the disease-free equilibrium point. Numerical simulations and comparative studies are illustrated to validate the analytical results.