Traveling Wave Solutions in a 2-D Lattice Delayed Differential Equation Without Quasi-Monotonicity

We consider a 2-D Lattice delayed differential equation without quasi-monotonicity.The existence of traveling wave solutions is established by constructing two auxiliary lattice delayed differential equations with quasi-monotonicity and using Schauder's fixed point theorem.In contrast to the known results,ourconclusion holds forall value of the delay.