  We introduce and study a two-dimensional dissipative nonlinear Anderson
pumping model which is characterized by localized or delocalized eigenmodes in
a linear regime and in addition includes nonlinearity, dissipation and pumping.
We find that above a certain pumping threshold the model has narrow spectral
lasing lines generated by isolated clusters of Anderson attractors. With the
increase of the pumping, the lasing spectrum is broaden even if narrow lasing
peaks are still well present in the localized phase of linear modes. In the
metallic phase, the presence of narrow spectral peaks is significantly
suppressed. We argue that the model captures main features observed for random
lasers.
