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. Our results are applied to a partially cooperative system describing interactions between ungulates and grass.
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Communicated by P. Newton.
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Wang, H. Spreading Speeds and Traveling Waves for Non-cooperative Reaction–Diffusion Systems. J Nonlinear Sci 21, 747–783 (2011). https://doi.org/10.1007/s00332-011-9099-9
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DOI: https://doi.org/10.1007/s00332-011-9099-9