  We obtain an explicit solution for the stationary state populations of a
dissipative Fano model, where a discrete excited state is coupled to a
continumm set of states; both excited set of states are reachable by
photo-excitation from the ground state. The dissipative dynamic is described by
a Liouville equation in Lindblad form and the field intensity can take
arbitrary values within the model. We show that the continuum states population
as a function of laser frequency can always be expressed as a Fano profile plus
a Lorentzian function with effective parameters whose explicit expressions are
given in the case of a closed system coupled to a bath as well as for the
original Fano scattering framework. Although the solution is intricate, it can
be elegantly expressed as a linear transformation of the kernel of a $4\times
4$ matrix which has the meaning of an effective Liouvillian. We unveil key
notable processes related to the optical nonlinearity and which had not been
reported to date: electromagnetic induced-transparency, population inversions,
power narrowing and broadening, as well as an effective reduction of the Fano
asymmetry parameter.
