Fractional-Order Delay Differential Equations of Hepatitis C Virus

In this chapter, we investigate a fractional-order delay differential model reflecting the dynamics of Hepatitis C virus (HCV) replication in the presence of interferon- α treatment. We consider a fractional order in the model to represent the intermediate cellular interactions and intracellular delay of the viral life cycle and incorporate a discrete time-delay to justify the short-run memory. The fractional order is also considered with existing model parameters to unify the units of the differential equations. We analyze the steady states and dynamical behavior of the model.