  Within the scope of an anisotropic Bianchi type-VI cosmological model we have
studied the evolution of the universe filled with perfect fluid and dark
energy. To get the deterministic model of Universe, we assume that the shear
scalar $(\sigma)$ in the model is proportional to expansion scalar
$(\vartheta)$. This assumption allows only isotropic distribution of fluid.
Exact solution to the corresponding equations are obtained. The EoS parameter
for dark energy as well as deceleration parameter is found to be the time
varying functions. Using the observational data qualitative picture of the
evolution of the universe corresponding to different of its stages is given.
The stability of the solutions obtained is also studied.
