  On the basis of the previously formulated mathematical model of a statistical
system with a scalar interaction of fermions and the theory of
gravitational-scalar instability of a cosmological model based on a
two-component statistical system of scalarly charged degenerate fermions, a
numerical model of the cosmological evolution of gravitational-scalar
perturbations for a one-component cosmological system with a canonical scalar
interaction is constructed and studied. The influence of the magnitude of the
scalar charge of fermions on the differential and integral parameters of the
instability is revealed. It is shown that the gravitational-scalar instability
in the early stages of expansion in the model under study arises at
sufficiently small scalar charges. 4 fundamentally different types of
perturbations are identified, as well as 4 types of gravitational-scalar
instability, determined by the fundamental parameters of the model. Examples of
numerical models are given that provide large values of the increments of the
increase in the amplitude of perturbations.
