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arXiv · 1908.05539

Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition

Rui Peng·Chang-Hong Wu·Maolin Zhou
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Abstract

This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the solution is established in two different situations: either one species is an invasive one and the other is a native one or both are invasive species. Our results seem to be the first that provide a precise spreading speed and profile for such a strong competition system. Among other things, our analysis relies on the construction of new types of supersolution and subsolution, which are optimal in certain sense.

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Rui Peng, Chang-Hong Wu, Maolin Zhou. 2019-08-15. Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition. https://arxiv.org/abs/1908.05539

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