  We present a study of radiation propagation through disordered amplifying
honeycomb photonic lattice, where elastic scattering provides feedback for
light generation. To explore the interplay of different scattering mechanisms
and the amplification background, we consider the Dirac Hamiltonian with a
random potential and derive diffusion equation for the average intensity of
light. The transmission coefficient and interference correction to the
diffusion coefficient are enhanced near the lasing threshold. The transition
between weak anti-localization and weak localization behaviours might be
controlled by the parameters associated with the amplification and inter-valley
scattering rates.
