A reaction-diffusion-advection competition model with two free boundaries in heterogeneous time-periodic environment

被引：12

作者：

Chen, Qiaoling ^{[1
]}

Li, Fengquan ^{[1
]}

Wang, Feng ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2017年 / 82卷 / 02期

关键词：

reaction-diffusion-advection competition model; free boundary problem; spreadingvanishing quartering; heterogeneous time-periodic environment; sharp criteria; PREY-PREDATOR MODEL; SIGN-CHANGING COEFFICIENT; LOGISTIC MODEL; UNFAVORABLE HABITAT; FAVORABLE HABITAT; HIGHER DIMENSION; EQUATION; BEHAVIOR; SYSTEM; SPEED;

D O I：

10.1093/imamat/hxw059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, westudy the dynamics of a two-species competition model with two different free boundaries in heterogeneous time- periodic environment, where the two species adopt a combination of random movement and advection upward along the resource gradient. We show that the dynamics of this model can be classified into four cases, which form a spreading-vanishing quartering. The notion of the minimal habitat size for spreading is introduced to determine if species can always spread. Rough estimates of the asymptotic spreading speed of free boundaries and the long-time behaviour of solutions are also established when spreading occurs. Furthermore, some sufficient conditions for spreading and vanishing are provided.

引用

页码：445 / 470

页数：26

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