Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals. (14th December 2019)

• Record Type: Journal Article
• Authors: Yuan, Dongmei; Bai, Yuzhen
• Other Names: Xu Yong Academic Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-12-14
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/8742958
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, we consider a predator-prey model with nonlocal dispersals of two cooperative preys and one predator. We prove that the traveling wave fronts with the relatively large wave speed are exponentially stable as perturbation in some exponentially weighted spaces, when the difference between initial data and traveling wave fronts decay exponentially at negative infinity, but in other locations, the initial data can be very large. The adopted method is to use the weighted energy method and the squeezing technique with some new flavors to handle the nonlocal dispersals.