中文摘要：

考虑一类带有时滞的非局部反应扩散系统。通过构造系统的上解和下解,并利用Schauder不动点定理证明了存在正常数c＊（τ1,τ2,τ3）,当c≥c＊（τ1,τ2,τ3）时,该反应扩散系统存在波速为c的波前解。

英文摘要：

This paper is concerned with the nonlocal reaction diffusion system. By using upper-lower solution approach and Schauder fixed point theorem, we prove that there exists a positive constant c＊（τ1,τ2,τ3）, such that for each c≥c＊（τ1,τ2,τ3）the system has a traveling wave fronts with speed c.