In this paper, we consider a two-species competitive and diffusive system with nonlocal delays. We investigate the existence of traveling wave fronts of the system by employing linear chain techniques and geometric singular perturbation theory. The existence of the traveling wave fronts analogous to a bistable wavefront for a single species is proved by transforming the system with nonlocal delays to a six-dimensional system without delay.

中文翻译：

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扩散且具有竞争力的 Lotka-Volterra 系统中的行波前

在本文中，我们考虑具有非局部延迟的两种竞争扩散系统。我们通过采用线性链技术和几何奇异摄动理论来研究系统行波前的存在。通过将具有非局部延迟的系统转换为无延迟的六维系统，证明了类似于单个物种的双稳态波前的行波前的存在。