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Some new exact solutions of Einstein's field equations have come forth withinthe scope of a spatially homogeneous and anisotropic Bianchi type-IIIspace-time filled with barotropic fluid and dark energy by considering avariable deceleration parameter. We consider the case when the dark energy isminimally coupled to the perfect fluid as well as direct interaction with it.Under the suitable condition, the anisotropic models approach to isotropicscenario. We also find that during the evolution of the universe, the equationof state (EoS) for dark energy $\omega^{(de)}$, in both cases, tends to -1(cosmological constant, $\omega^{(de)} = -1$), by displaying various patternsas time increases, which is consistent with recent observations. The cosmicjerk parameter in our derived models are in good agreement with the recent dataof astrophysical observations under appropriate condition. It is observed thatthe universe starts from an asymptotic Einstein static era and reaches to the$\Lambda$CDM model. So from recently developed Statefinder parameters, thebehavior of different stages of the universe has been studied. The physical andgeometric properties of cosmological models are also discussed.

Two-Fluid Dark Energy Models in Bianchi Type-III Universe with Variable Deceleration Parameter