  We study the interplay between disorder, interactions and decoherence induced
by spontaneous emission process. Interactions are included in the Anderson
model via a mean-field approximation, and a simple model for spontaneous
emission is introduced. Numerical simulations allow us to study the effects of
decoherence on different dynamical regimes. Physical pictures for the
mechanisms at play are discussed and provide simple interpretations. Finally,
we discuss the validity of scaling laws on the initial state width.
