Some Qualitative Properties of Traveling Wave Fronts of Nonlocal Diffusive Competition-Cooperation Systems of Three Species with Delays. (18th September 2020)

• Record Type: Journal Article
• Authors: Yao, Meiping; Qiao, Pengzhi; Wang, Yang
• Other Names: Ahmadieh Khanesar Mojtaba Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-09-18
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/6909567
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper is concerned with nonlocal diffusion systems of three species with delays. By modified version of Ikehara's theorem, we prove that the traveling wave fronts of such system decay exponentially at negative infinity, and one component of such solutions also decays exponentially at positive infinity. In order to obtain more information of the asymptotic behavior of such solutions at positive infinity, for the special kernels, we discuss the asymptotic behavior of such solutions of such system without delays, via the stable manifold theorem. In addition, by using the sliding method, the strict monotonicity and uniqueness of traveling wave fronts are also obtained.