Dynamics for a nonlocal competition system with a free boundary. Issue 14 (26th October 2019)

• Record Type: Journal Article
• Authors: Zhao, Yaling; Liu, Zuhan; Zhou, Ling
• Is Part Of: Applicable analysis. Volume 98:Issue 14(2019)
• Page Start: 2559
• Page End: 2588
• Publication Date: 2019-10-26
• Subjects: Dynamics -- competition model -- free boundary -- integral convolution; 35K51 -- 35R35 -- 92B05 -- 35B40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2018.1466282
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we investigate a nonlocal reaction–diffusion competition model with a free boundary and discuss the long time behavior of species. The main objective is to understand the effect of the nonlocal term in the form of an integral convolution on the dynamics of competing species. Specially, for the weak competition case, when spreading occurs, we provide some sufficient conditions to prove that two competing species stabilize at a positive constant equilibrium state. Furthermore, for the case of successful spreading, we estimate the asymptotic spreading speed of the free boundary.