  We consider a model of antiviral immune response proposed in the works of
G.I. Marchuk. The model is described by a system of delay differential
equations. The asymptotic stability of a stationary solution to the system
corresponding to a completely healthy organism is studied. Estimates of the
attraction set of the given stationary solution are obtained and estimates of
solutions characterizing the stabilization rate at infinity are established.
The results are obtained using the Lyapunov-Krasovskii functional.
