  Assuming a two-qubit system in Werner state which evolves in Heisenberg XY
model with Dzyaloshinskii-Moriya (DM) interaction under the effect of different
environments. We evaluate and compare quantum entanglement, quantum and
classical correlation measures. It is shown that in the absence of decoherence
effects, there is a critical value of DM interaction for which entanglement may
vanish while quantum and classical correlations do not. In the presence of
environment the behavior of correlations depends on the kind of
system-environment interaction. Correlations can be sustained by manipulating
Hamiltonian anisotropic-parameter in a dissipative environment. Quantum and
classical correlations are more stable than entanglement generally.
