Dynamics for a nonlocal competition system with a free boundary

被引：1
|
作者：
Zhao, Yaling [1 ]
Liu, Zuhan [1 ]
Zhou, Ling [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R China
来源：
APPLICABLE ANALYSIS | 2019年 / 98卷 / 14期
关键词：
Dynamics; competition model; free boundary; integral convolution; DIFFUSIVE LOGISTIC EQUATION; SPREADING SPEED; TRAVELING-WAVES; MODEL; FRONTS; SUPERIOR; INVASION; INFERIOR;
D O I：
10.1080/00036811.2018.1466282
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：2559 / 2588
页数：30
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