  We studied the properties of the heavy quarkonia in the presence of finite
quark-chemical potential for different number of flavors by using the quasi
particle approach. The effect of the finite quark-chemical potential has been
incorporated through the quasi-particle Debye mass to examine the binding
energies of the quarkonium states. From the imaginary part of the potential we
have calculated the thermal width of the ground state of the quarkonia and
found that the thermal width increases with finite quark-chemical potential.
The dissociation temperature (T_D) of the J/psi and Upsilon have been
calculated in the presence of finite quark-chemical potential for different
flavors (i.e., N_f = 1, 2 and 3). The effect of the finite quark-chemical
potential on the mass spectra of the quarkonium states has been also studied.
