Abstract:In nature, the phenomenon of non-local diffusion is widespread, therefore, the study of the nonlocal dispersal equation is of practical significance. Usually, the dispersal system is studied by using the convolution operator or the integral differential equation. Based on the study of the traveling waves solutions of the nonlocal equation with state-dependent delay, the traveling waves solutions of the more general nonlocal dispersal equation with state-dependent delay were concerned. By applying the appropriate upper and lower solutions and relevant assumptions, the set of an operator was constructed. By using Schauder fixed point theorem, the existence of traveling waves is proved when the wave velocity is greater than the critical wave velocity.