Open AccessTraveling wave fronts in a diffusive and competitive Lotka-Volterra system
Author(s) -
Zhijiang Du,
Shuling Yan,
Kaige Zhuang
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021010
Subject(s) - bistability , traveling wave , wavefront , perturbation (astronomy) , singular perturbation , physics , mathematics , mathematical analysis , statistical physics , optics , quantum mechanics
In this paper, we consider a two-species competitive and diffusive system with nonlocal delays. We investigate the existence of traveling wave fronts of the system by employing linear chain techniques and geometric singular perturbation theory. The existence of the traveling wave fronts analogous to a bistable wavefront for a single species is proved by transforming the system with nonlocal delays to a six-dimensional system without delay.