Modelling the Adaptive Immune Response in HBV Infection Model with HBV DNA-Containing Capsids.

The objective of this paper is to investigate a mathematical model describing the interactions between hepatitis B virus with DNA-containing capsids, liver cells (hepatocytes) and the adaptive immune response. This adaptive immunity will be represented by cytotoxic T-lymphocytes and antibody immune responses. The positivity and boundedness of solutions for non negative initial data are proved which is consistent with the biological studies. The local stability of the equilibria is established. In addition to this, the global stability of the disease-free equilibrium and the endemic equilibria is fulfilled by using appropriate Lyapunov functions. Finally, numerical simulations are performed to support our theoretical findings. [ABSTRACT FROM AUTHOR]