An upper bound for front propagation velocities inside moving populations

Abstract

We consider a two-type (red and blue or R and B) particle population that evolves on the d-dimensional lattice according to some reactiondiffusion process R+B →2R and starts with a single red particle and a density ρ of blue particles. For two classes of models we give an upper bound on the propagation velocity of the red particles front with explicit dependence. © 2010, Brazilian Statistical Association. All rights reserved.