Time periodic traveling fronts of pyramidal shapes for periodic Lotka-Volterra competition-diffusion system

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• 作者：Xiongxiong Bao ^{baoxx2016@chd.edu.cn}
• 关键词：Lotka&ndash ; Volterra competition&ndash ; diffusion system ; Time periodic ; Pyramidal traveling fronts ; Existence
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：35
• 期：Complete
• 页码：292-311
• 全文大小：759 K
• 卷排序：35

文摘

This paper is concerned with the time periodic traveling front solutions of pyramidal shapes for time periodic Lotka–Volterra competition–diffusion system in RNRN with N≥3N≥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 R2R2 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 RNRN.