Propagation dynamics in a three-species competition model with nonlocal anisotropic dispersal. (August 2019)

• Record Type: Journal Article
• Authors: Dong, Fang-Di; Li, Wan-Tong; Wang, Jia-Bing
• Is Part Of: Nonlinear analysis. Volume 48(2019)
• Page Start: 232
• Page End: 266
• Publication Date: 2019-08
• Subjects: Three-species competition system -- Bistable traveling front -- Asymptotic behavior -- Entire solution; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.01.012
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper deals with bistable traveling waves and entire solutions for a three-species competition model with nonlocal anisotropic dispersal. We first establish the existence and monotonicity of traveling waves by the limiting argument on truncation problems. Then using Ikehara's lemma, we demonstrate the asymptotic behavior of traveling waves, by which the uniqueness of wave profile and wave speed is investigated. Finally, a class of front-like entire solutions are constructed by comparison principle and upper/lower-solutions, and some qualitative properties such as the monotonicity and smoothness of these entire solutions are also obtained.