  Based on the mathematical model of a statistical system with scalar
interaction of fermions formulated earlier, a cosmological model based on a
two-component statistical system of scalar charged degenerate fermions
interacting with an asymmetric scalar doublet, canonical and phantom scalar
fields, is investigated. The asymptotic and limiting properties of the
cosmological model are investigated, and it is shown that among all models
there is a class of models with a finite lifetime. The asymptotic behavior of
models near the corresponding singularities is investigated and numerical
implementations of such models are constructed.
