Dynamics of a fractional optimal control HBV infection model with capsids and CTL immune response

This paper deals with a fractional optimal control problem model that describes the interactions between hepatitis B virus (HBV) HBV DNA-containing capsids, liver cells (hepatocytes), and cytotoxic T-cell immune response. Optimal controls represent effectiveness of drug therapy in inhibiting viral production preventing new infections. The optimality system is derived solved numerically. Our results also show treatment strategies reduce load increase number uninfected cells, which improves patient's quality life.