Abstract
We study the global dynamics of within-host viral infection model with virus DNA- containing capsids. The effect of antibody immune response has been considered. The uninfected cell become infected due to its contacts with a virus or an infected cell. The incidence rate is given by saturation. The well-posedness of the model is establised.We utilise Lyapunov method and apply LaSalle's invariance principle to prove the global stability of the equilibria. We support our theoretical results by numerical simulations.