Asymptotic behaviors of forced waves for the lattice Lotka–Volterra competition system with shifting habitats. (August 2021)

• Record Type: Journal Article
• Authors: Qiao, Shao-Xia; Zhu, Jing-Lei; Wang, Jia-Bing
• Is Part Of: Applied mathematics letters. Volume 118(2021)
• Publication Date: 2021-08
• Subjects: Lattice Lotka–Volterra system -- Shifting habitats -- Asymptotic behaviors of forced waves; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107168
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper is concerned with the lattice Lotka–Volterra competition system under shifting habitats. By some delicate analyses, we establish the exactly exponential asymptotic decay of the forced wave with nonzero forced speed, the existence of which has been obtained by Wang et al. (2020). This gives a detailed description on the tail behaviors of the forced waves in a shifting environment.