Propagation thresholds of competitive integrodifference systems. Issue 12 (2nd December 2019)

• Record Type: Journal Article
• Authors: Pan, Shuxia; Lin, Guo; Wang, Jingxuan
• Is Part Of: Journal of difference equations and applications. Volume 25:Issue 12(2019)
• Page Start: 1680
• Page End: 1705
• Publication Date: 2019-12-02
• Subjects: Asymptotic spreading -- auxiliary equation -- travelling wave solutions -- non-monotone system -- upper and lower solutions; 35C07 -- 39A20 -- 37C65; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2019.1678597
• Languages: English
• ISSNs: 1023-6198

Abstract

ABSTRACT: This paper deals with the propagation thresholds of competitive integrodifference systems, which may be non-monotone even if the interspecific competition vanishes. The purpose is to establish the propagation thresholds that two competitors invade a new habitat. We first obtain the minimal wave speed by presenting the existence and non-existence of non-trivial travelling wave solutions. Then we confirm the minimal wave speed is the spreading speed of one competitor if the initial condition admits non-empty compact support.