Speaker: Haiyan Wang
Division of Mathematical & Natural Sciences
Arizona State University
Title: Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
Abstract: Traveling wave solutions of reaction-diffusion equations, interpreted biologically as the spread of populations, have successfully predicted spread rates of some introduced species. Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this talk, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. The results are applied to a non-cooperative system describing interactions between ungulates and grass.