Time periodic traveling fronts of pyramidal shapes for periodic Lotka–Volterra competition–diffusion system. (June 2017)

• Record Type: Journal Article
• Authors: Bao, Xiongxiong
• Is Part Of: Nonlinear analysis. Volume 35(2017)
• Page Start: 292
• Page End: 311
• Publication Date: 2017-06
• Subjects: Lotka–Volterra competition–diffusion system -- Time periodic -- Pyramidal traveling fronts -- Existence; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.11.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with the time periodic traveling front solutions of pyramidal shapes for time periodic Lotka–Volterra competition–diffusion system in R N with N ≥ 3 . It should be mentioned that the existence, uniqueness and stability of two-dimensional time periodic traveling curved fronts of time periodic Lotka–Volterra competition–diffusion system in R 2 have been studied yet. By the supersolution and subsolution technique coupled with comparison principle, in this paper we construct the existence, non-existence and qualitative properties of time periodic pyramidal traveling front solutions for time periodic Lotka–Volterra competition–diffusion system in R N .