An Interacting Two-Fluid Scenario for Dark Energy in an FRW Universe

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 a(t) =√te^t, 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.