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This paper focuses on traveling wave solutions for the so-calledRosenzweig-MacArthur model with spatial diffusion. The main results of thisnote are concerned with the existence and uniqueness of traveling wave solutionas well as periodic wave train solution in the large wave speed asymptotic.Depending on the model parameters we more particularly study the existence andthis uniqueness of a traveling wave connecting two equilibria or connecting anequilibrium point and a periodic wave train. We also discuss the existence anduniqueness of such a periodic wave train. Our analysis is based on ordinarydifferential techniques by coupling the theories of invariant manifoldstogether with those of global attractors.

Large Speed Traveling Waves for the Rosenzweig-MacArthur Model with Spatial Diffusion