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arXiv · 1007.0950

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

Haiyan Wang
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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.

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Haiyan Wang. 2010-07-06. Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. https://doi.org/10.1007/s00332-011-9099-9

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