Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
arXiv:1007.0950 · doi:10.1007/s00332-011-9099-9
Abstract
Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, 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. As an application, our results are applied to a partially cooperative system describing interactions between ungulates and grass.
Corrected typos. added Remarks 2.4 and 2.5; Journal of Nonlinear Science, 2011