A reaction-diffusion-advection free boundary problem for a two-species competition system

被引：4

作者：

Duan, Bo ^{[1
]}

Zhang, Zhengce ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 476卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Superior competitor; Inferior competitor; Free boundary; Reaction-diffusion-advection equation; Spreading-vanishing dichotomy; SPREADING SPEED; LOGISTIC MODEL; SUPERIOR; INVASION; DYNAMICS; INFERIOR; EQUATION;

D O I：

10.1016/j.jmaa.2019.03.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a reaction-diffusion-advection competition system, with one of the two species is a superior competitor, and the other is an inferior competitor. In this system, the double free boundaries represent the expanding front in a one-dimensional habitat. The main goal is to understand the effect of small advection term on the dynamics of the two species through double free boundaries. First, we provide the long time behavior of the species. Besides, we get a spreading vanishing dichotomy and criteria governing spreading and vanishing. Furthermore, when spreading occurs, the asymptotic spreading speeds of double free boundaries are estimated. (C) 2019 Published by Elsevier Inc.

引用

页码：595 / 618

页数：24

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