Nonlinear Fokker-Planck equations, H - theorem, and entropies

We analyze the H - theorem like to systems subjected to a process that implies in a nonconservation of the number of particles. Firstly, we consider the system governed by a linear Fokker-Planck equation with a source (or sink) term. After, we investigate the nonlinear situations including the Tsallis entropy. We also obtain for these cases the entropy production in order to verify that the entropy in these situations system increases.