Spatial dynamics of the lattice Lotka–Volterra competition system in a shifting habitat. (August 2021)

• Record Type: Journal Article
• Authors: Meng, Yanling; Yu, Zhixian; Zhang, Shengqiang
• Is Part Of: Nonlinear analysis. Volume 60(2021)
• Publication Date: 2021-08
• Subjects: Lattice Lotka–Volterra competition system -- Spatial–temporal dynamics -- Shifting habitat -- Spreading speed -- Persistence -- Extinction; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103287
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we study the spatial dynamics of the lattice Lotka–Volterra competition system in a shifting habitat. First, we discuss the corresponding ranges of the environmental worsening speed c in the following three cases: (a) both species are extinct; (b) one species is extinct, the other is persistent; (c) both species are persistent. Moreover, for species persistence, it is achieved by diffusing to the favorable habitat with certain speeds. Finally, some estimates of these speeds are given.