Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
Analysis of PDEs
2011-05-05 v2 Populations and Evolution
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.
Keywords
Cite
@article{arxiv.1007.0950,
title = {Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems},
author = {Haiyan Wang},
journal= {arXiv preprint arXiv:1007.0950},
year = {2011}
}
Comments
Corrected typos. added Remarks 2.4 and 2.5; Journal of Nonlinear Science, 2011