  The possibility of dual equivalence between the self-dual and the
Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1)
fermionic charged matter is examined. The proper coupling in the self-dual
model is then disclosed using the iterative gauge embedding approach. We found
that the self-dual potential needs to couple directly to the Chern-Kernel of
the source in order to establish this equivalence besides the need for a
self-interaction term to render the matter sector unchanged.
