Mathematical Modeling of Chronic Hepatitis C Treatment’s Effect on the Evolution of its Complications

Viral hepatitis C is an inflammation caused by a virus of type C (HCV) that can lead to progressive liver failure. An immune response to eliminate the virus can cause severe deformities such as cirrhosis, hepatocellular carcinoma and even death. The aim of this research is to study the HCV-complications’ evolution and show how the treatment’s administration can act to reduce the risk of the transmission, the complexity and the severity of the disease and therefore the costs. Firstly, the model’s formulation is proposed. Then, the model solution’s existence and uniqueness are discussed. Thereafter, the stability analysis of the proposed model is presented. Finally, numerical simulations are presented to support the effectiveness of the theoretical analysis and to prove the positive effect of early treatment on the evolution of HCV-complications.