Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity. (2nd June 2019)

• Record Type: Journal Article
• Authors: Wu, Fuzhen
• Other Names: Pancioni Luca Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2019(2019)
• Publication Date: 2019-06-02
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2019/1950767
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : This paper deals with the minimal wave speed of delayed lattice dynamical systems without monotonicity in the sense of standard partial ordering inR 2 . By constructing upper and lower solutions appealing to the exponential ordering, we prove the existence of traveling wave solutions if the wave speed is not smaller than some threshold. The nonexistence of traveling wave solutions is obtained when the wave speed is smaller than the threshold. Therefore, we confirm the threshold is the minimal wave speed, which completes the known results.