  Based on the previously formulated theory of spherical perturbations in the
cosmological medium of self-gravitating scalarly charged fermions with the
Higgs scalar interaction and the similarity properties of such models, the
formation of supermassive Black Hole Seeds (SSBH) in the early Universe is
studied. Using numerical simulation of the process, it is shown that the mass
of SSBH during the evolution process reaches a limiting value, after which it
begins to slowly fall. The possible influence of nonlinearity on this process
is discussed.
