中文摘要：

采用构造上下解交叉迭代的方法,证明了带有非局部扩散项以及时滞的反应扩散方程行波解的存在性,依此并将原有的关于Lotka-Volterra型竞争扩散模型的结论推广到了更一般的Hosono-Mimura型竞争扩散系统中.

英文摘要：

This paper proves the existence of traveling wavefronts for a reaction-diffusion system with nonlocal diffusion and delays, which is based upon the crossing iteration technique with upper-lower solutions. With the conclusion arrived at, the competitive Lotka-Volterra model can be extended to more general competitive Hosono-Mimura model.