  The thermodynamics of a system of interacting bosonic particles and
antiparticles in the presence of the Bose-Einstein condensate is studied in the
framework of the Skyrme-like mean-field model. It is assumed that the total
charge density (isospin density) is conserved at all temperatures. Two cases
are explicitly considered: zero and nonzero isospin charge of the system. A
comparative analysis is carried out using Canonical Ensemble and Grand
Canonical Ensemble. It is shown that the Grand Canonical Ensemble is not
suitable for describing bosonic systems of particles and antiparticles in the
presence of condensate.
