Abstract
We study the evolution of the dark energy parameter within the scope of a spatially homogeneous and isotropic Friedmann—Robertson—Walker (FRW) model filled with barotropic fluid and dark energy. To obtain the deterministic solution we choose the scale factor 
, which yields a time-dependent deceleration parameter (DP). In doing so, we consider the case minimally coupled with dark energy to the perfect fluid as well as direct interaction with it.