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This paper studies the traveling wave solutions to a three speciescompetition cooperation system. The existence of the traveling waves isinvestigated via monotone iteration method. The upper and lower solutions comefrom either the waves of KPP equation or those of certain Lotka Volterrasystem. We also derive the asymptotics and uniqueness of the wave solutions.The results are then applied to a Lotka Volterra system with spatially averagedand temporally delayed competition.

Traveling Waves in a Three Species Competition-cooperation System