  By considering an exactly solvable model of a two interacting spin-1/2 qubits
described by the Heisenberg anisotropic interaction in the presence of
intrinsic decoherence, we study the dynamics of entanglement quantified by the
concurrence and measurement-induced nonlocality (MIN) based on Hilbert-Schmidt
norm and trace distance with different initial conditions. We highlight the
relationship between the entanglement and MIN for the pure initial state. For
an initial separable state, it is found that the robustness and the generation
of the quantum correlations depend on the physical parameters. While
considering the entangled state as an initial state, the results show that
despite the phase decoherence all the correlations reach their steady state
values after exhibiting some oscillations. Finally, we show that the existence
of quantum correlation captured by MIN in the unentangled state.
