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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:476

Article

Duan, Bo¹  Zhang, Zhengce¹ 

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

关键词: Superior competitor;    Inferior competitor;    Free boundary;    Reaction-diffusion-advection equation;    Spreading-vanishing dichotomy;   

DOI  :  10.1016/j.jmaa.2019.03.073

来源: Elsevier

【 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.

【 授权许可】

Free