  In this work we investigate a cosmological model with the tachyon and fermion
fields with barotropic equation of state, where pressure $p$, energy density
$\rho$ and barotropic index $\gamma$ are related by the relation
$p=(\gamma-1)\rho$. We applied the tachyonozation method which allows to
consider cosmological model with the fermion and the tachyon fields, driven by
special potential. In this paper, tachyonization model was defined from the
stability analysis and exact solution standard of the tachyon field. Analysis
of the solution via statefinder parameters illustrated that our model in
fiducial points with deceleration parameter $q = 0.5$ and statefinder $r = 1$
which corresponds to the matter dominated universe (SCDM) but, ends its
evolution at a point in the future $(q =-1, \ r = 1)$ which corresponds to the
de-Sitter expansion. Comparison of the model parameters with the cosmological
observation data demonstrate, that our proposed cosmological model is stable at
barotropic index $\gamma_0=0.00744$.
