摘要：

We study traveling wave solutions to a nonlinear singularly perturbed system of integral differential equations arising from synaptically coupled neuronal networks. We accomplish the existence and stability of traveling wave solutions by constructing speed index functions and stability index functions for the system of integral differential equations. We also study the influence of biological mechanisms on the wave speeds. More specifically, we derive lower bound and upper bound of wave speed. We also compare speeds of traveling wave solutions for various integral differential equations.