Propagation phenomena for partially degenerate nonlocal dispersal models in time and space periodic habitats. (February 2020)

• Record Type: Journal Article
• Authors: Bao, Xiongxiong; Li, Wan-Tong
• Is Part Of: Nonlinear analysis. Volume 51(2020)
• Publication Date: 2020-02
• Subjects: Partially degenerate -- Nonlocal dispersal -- Time and space periodic habitat -- Spreading speed -- Traveling wave solution; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.102975
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with propagation phenomena of a general class of partially degenerate nonlocal dispersal cooperative systems in time and space periodic habitats. We first show that such system has a finite spreading speed interval in any direction and there is a spreading speed for the partially degenerate system under certain conditions. Next, we prove that if the wave speed is greater than the spreading speed, there exists a time and space periodic traveling wave solution connecting the stable positive time and space periodic steady state and 0 . Finally, we apply these results to two species partially degenerate competition systems and a partially degenerate epidemic model with nonlocal dispersal in time and space periodic habitats.