Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition
Analysis of PDEs
2020-07-14 v4
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.
Keywords
Cite
@article{arxiv.1908.05539,
title = {Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition},
author = {Rui Peng and Chang-Hong Wu and Maolin Zhou},
journal= {arXiv preprint arXiv:1908.05539},
year = {2020}
}