Asymptotic Speeds of Spread for a Nonlocal Diffusion Equation

The current paper is devoted to the study of spatial spreading dynamics of a class of nonlocal diffusion equation. It is known that there exists a critical speed (c^{*}>0) such that this nonlocal diffusion equation has a unique regular traveling wave solution if and only if (c>c^{*}). In this paper we show that this (c^{*}) is the asymptotic speed of propagation.