Inside dynamics of delayed traveling waves (Q2843423)

This paper deals with the traveling wave solutions of a class of delayed nonlinear parabolic equations which generalize the classical reaction-diffusion equations by considering a positive constant delay in the reaction term.NEWLINENEWLINEThe notion of inside dynamics of traveling waves for reaction-diffusion equations has been introduced by some of the authors of this work in a previously published paper, where these traveling waves are classified into two main classes: pulled and pushed waves. The aim of this work consists of studying the pulled-pushed nature of traveling solutions for delayed equations, providing analytical and numerical results which describe the inside dynamics of these waves.