Traveling waves for a Lotka-Volterra competition system with diffusion

The paper addresses the existence of traveling waves for a two species competitive Lotka-Volterra reaction-diffusion system with discrete delays {∂∂tu1(x,t)=d1∂2∂x2u1(x,t)+r1u1(x,t)[1−a1u1(x,t)−b1u1(x,t−τ1)−c1u2(x,t−τ2)],∂∂tu2(x,t)=d2∂2∂x2u2(x,t)+r2u2(x,t)[1−a2u2(x,t)−b2u2(x,t−τ3)−c2u1(x,t−τ4)]. Our results can extend some existing ones for two species diffusion competition Lotka-Volterra systems.