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This paper is concerned with the existence of traveling wave solutions fordiffusive two-species Lotka-Volterra systems with delay in both the reactionand diffusion terms without monotonicity. We extend the partial or crossmonotone iteration method to systems that satisfy the partial quasi-monotonecondition via construction appropriate upper and lower solutions. This is doneby using Schauder's fixed point theorem.

Existence of Traveling Waves of Lotka Volterra Type Models with Delayed Diffusion Term and Partial Quasimonotonicity