English

Sharp estimates for the spreading speeds of the Lotka-Volterra competition-diffusion system: the strong-weak type

Analysis of PDEs 2022-01-13 v1

Abstract

We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves is not linear determined, we establish the precise asymptotic behavior of the solution of the Cauchy problem in two different situations: (i) one species is an invasive one and the other is a native species; (ii) both two species are invasive species.

Keywords

Cite

@article{arxiv.2201.04389,
  title  = {Sharp estimates for the spreading speeds of the Lotka-Volterra competition-diffusion system: the strong-weak type},
  author = {Chang-Hong Wu and Dongyuan Xiao and Maolin Zhou},
  journal= {arXiv preprint arXiv:2201.04389},
  year   = {2022}
}