Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems

Details Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems

2010-07-06

arxiv.org/abs/1007.0950v2

Mathematics

Analysis of PDEs

Corrected typos. added Remarks 2.4 and 2.5; Journal of Nonlinear Science, 2011

Scientific paper

10.1007/s00332-011-9099-9

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.

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