  Anisotropic dark energy model with dynamic pressure anisotropies along
different spatial directions is constructed at the backdrop of a spatially
homogeneous diagonal Bianchi type $V$ $(BV)$ space-time in the framework of
General Relativity. A time varying deceleration parameter generating a hybrid
scale factor is considered to simulate a cosmic transition from early
deceleration to late time acceleration. We found that the pressure anisotropies
along the $y-$ and $z-$ axes evolve dynamically and continue along with the
cosmic expansion without being subsided even at late times. The anisotropic
pressure along the $x-$axis becomes equal to the mean fluid pressure. At a late
phase of cosmic evolution, the model enters into a phantom region. From a state
finder diagnosis, it is found that the model overlaps with $\Lambda$CDM at late
phase of cosmic time.
