  The evolution equations for Green functions of the Reggeon Field Theory (RFT)
are equivalent to those of the inclusive distributions for the
reaction-diffusion system of classical particles. We use this equivalence to
obtain numerically Green functions and amplitudes of the RFT with all loop
contributions included. The numerical realization of the approach is described
and some important applications including total and elastic proton--proton
cross sections are studied. It is shown that the loop diagram contribution is
essential but can be imitated in the eikonal cross section description by
changing the Pomeron intercept. A role of the quartic Pomeron coupling which is
an inherent part of the stochastic model is shown to be negligible for
available energies.
