ftp ejde.math.txstate.edu TRAVELING WAVES IN A DIFFUSIVE PREDATOR-PREY MODEL WITH GENERAL FUNCTIONAL RESPONSE

Abstract. This article concerns the existence of traveling waves in a diffu-sive predator-prey model with general functional response. By applying the Schauder fixed theorem, we establish existence results of traveling wave solu-tions. The results are then applied to the predator-prey model with Holling type-II response. Our results indicate that there is a transition zone moving from the state with no species to the coexistence state of both species. 1