Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity

In this paper, we propose and investigate a fractional diffusive model for hepatitis B virus (HBV) infection with capsids immune response presented by cytotoxic T lymphocyte (CTL) cells. We derive the conditions global asymptotic stability of steady states in terms basic reproduction number R 0 1 . By constructing appropriate Lyapunov functionals, it is shown that infection-free equilibrium globally asymptotically stable when ≤ 1, immune-free < CTL > 1. Numerical simulations are performed to illustrate analytical results.