  In this paper, we have studied the stability of the cosmological models with
dark energy and combination of matter fields and dark energy in an anisotropic
space time. The pressure anisotropy along the spatial directions are derived
and its stability in each direction has been examined. The four models
presented here, show its stability on certain spatial direction. The role of
matter field on the stability analysis has been obtained. The positive and
negative value of cosmic string completely changed the stability behaviour of
the model. The presence of a magnetic field disturbs the stability aspects of
the models at least in an early epoch.
