Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation

In this paper, we study a very general non-local lattice differential equation with delay. We obtain the existence of the asymptotic speed of propagation, the existence and uniqueness of the traveling wavefront and the minimal speed of the traveling wavefront for the system. We also confirm that the asymptotic speed of propagation and the minimal speed of the traveling wavefront coincide.