Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system

作者：

Highlights：

• We investigate the traveling wave solutions of Lotka-Volterra competition-diffusion system.

• We analyze the sign of the propagation speed in several limiting cases.

• We analyze the cases of fast and slow competitors.

• We employ asymptotic and perturbation methods to derive approximate solutions.

摘要

•We investigate the traveling wave solutions of Lotka-Volterra competition-diffusion system.•We analyze the sign of the propagation speed in several limiting cases.•We analyze the cases of fast and slow competitors.•We employ asymptotic and perturbation methods to derive approximate solutions.

论文关键词：Lotka-Volterra competition,Bistable traveling waves,Propagation speed,Asymptotic analysis,Perturbative approach

论文评审过程：Received 21 February 2022, Revised 30 May 2022, Accepted 29 June 2022, Available online 14 July 2022, Version of Record 14 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127371