  The dark energy model with the equation of state p_d=-rho_d - A rho_d^alpha
is studied. The model comprises and provides realization of several types of
singularities in different parameter regimes: the divergence of the dark energy
density and pressure at finite time and finite value of the scale factor, the
singularity of the "big rip" type and the sudden future singularity recently
introduced by Barrow. For parameter choices which lead to a nonsingular
expansion of the universe, various types of the asymptotic evolution are found.
The entire time evolution of the universe is described both analytically and
numerically. The advantages of this dark energy EOS as a parametrization of
dark energy are discussed.
