Minimal Wave Speed in an Integrodifference System of Predator-Prey Type. (8th June 2020)

• Record Type: Journal Article
• Authors: Sun, Baoju; Wu, Fuzhen
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2020(2020)
• Publication Date: 2020-06-08
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2020/2704620
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.