Transition waves for lattice Fisher-KPP equations with time and space dependence. Issue 2 (April 2021)

• Record Type: Journal Article
• Authors: Wang, Ning; Wang, Zhi-Cheng; Bao, Xiongxiong
• Is Part Of: Proceedings. Volume 151:Issue 2(2021)
• Page Start: 573
• Page End: 600
• Publication Date: 2021-04
• Subjects: Lattice differential equations, -- generalized transition waves, -- space periodic, -- time heterogeneous; 34K31, -- 37L60, -- 35B51, -- 35C07, -- 35B40; Mathematics -- Periodicals; 510
• DOI: 10.1017/prm.2020.31
• Languages: English
• ISSNs: 0308-2105

Abstract

Abstract: This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By constructing appropriate subsolutions and supersolutions, we show that there is a critical wave speed such that a transition wave solution exists as soon as the least mean of wave speed is above this critical speed. Moreover, the critical speed we construct is proved to be minimal in some particular cases, such as space-time periodic or space independent.