Diffusion—Reaction processes on a backbone structure.

• Diffusion on a backbone structure with reaction. • Irreversible and reversible reaction processes and comb-model. • Solutions for a reaction processes in a comb-model. • Anomalous diffusion and reaction processes on backbone structure. We analyze the diffusion of a system on a backbone structure, by considering the presence of reaction terms. We start our analysis by considering an irreversible reaction process, where the particles are removed from the system. After, we consider the diffusion subjected to a reversible reaction process. The behavior for the system in this scenario depends on the relative rates of diffusion and reaction. For these cases, we obtain exact solutions in terms of the Green function approach and show a rich class of behavior which can be related to anomalous diffusion. [ABSTRACT FROM AUTHOR]