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

Rui Peng; Chang-Hong Wu; Maolin Zhou

doi:10.1016/j.anihpc.2020.07.006

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

Rui Peng, Chang-Hong Wu^*, Maolin Zhou

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	38
Issue number	3
DOIs	https://doi.org/10.1016/j.anihpc.2020.07.006
State	Published - May 2021

Keywords

Long-time behavior
Lotka-Volterra diffusion system
Spreading speed and profile
Strong competition
Traveling waves

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10.1016/j.anihpc.2020.07.006

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KW - Traveling waves

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

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Keywords

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