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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume38
Issue number3
DOIs
StatePublished - May 2021

Keywords

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

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