Propagation Speeds of Traveling Fronts for Higher Order Autocatalytic Reaction-Diffusion Systems

Abstract

This paper investigates the existence of traveling fronts and their propagation speeds for the two component higher order autocatalytic reaction-diffusion systems with any diffusion coefficients. Our elementary analysis of the vector fields in the phase space gives the estimate of the minimal propagation speeds in terms of the order of autocatalysis and the diffusion coefficients.