  Phase transitions in systems described by Bose-Fermi-Hubbard model on a
lattice with two nonequivalent sublattices are investigated in this work. The
case of hard-core bosons is considered and pseudospin formalism is used. Phase
diagrams are built in the plain of chemical potential of the bosons-bosonic
hopping parameter. It is shown that in the case of anisotropic hopping, the
region of the supersolid phase existence is possible for a smaller parameter
space.
