  This is a starting point of future work on a more detailed study of early
evolutionary phases of galactic nuclei. We put into port the study of the
evolution of star accretion onto a supermassive gaseous object in the central
region of an active galactic nucleus, which was previously addressed
semi-analytically. For this purpose, we use a gaseous model of relaxing dense
stellar systems, whose equations are solved numerically. The model is shortly
described and some first model calculations for the specific case of black hole
mass growth in time are given. Similar concepts will be applied in future work
for a system in which there is a dense interstellar medium as a possible
progenitor of a black hole in the galactic centre.
