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

共 50 条

[1] A REACTION-DIFFUSION-ADVECTION TWO-SPECIES COMPETITION SYSTEM WITH A FREE BOUNDARY IN HETEROGENEOUS ENVIRONMENT
Duan, Bo
Zhang, Zhengce
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (02): : 837 - 861
[2] A TWO-SPECIES WEAK COMPETITION SYSTEM OF REACTION-DIFFUSION-ADVECTION WITH DOUBLE FREE BOUNDARIES
Duan, Bo
Zhang, Zhengce
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (02): : 801 - 829
[3] Bifurcation and stability of a two-species reaction-diffusion-advection competition model
Ma, Li
Guo, Shangjiang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 59
[4] Stability and bifurcation in a two-species reaction-diffusion-advection competition model with time delay
Ma, Li
Feng, Zhaosheng
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[5] An evolutional free-boundary problem of a reaction-diffusion-advection system
Zhou, Ling
Zhang, Shan
Liu, Zuhan
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2017, 147 (03) : 615 - 648
[6] On a reaction-diffusion-advection system: fixed boundary or free boundary
Xu, Ying
Zhu, Dandan
Ren, Jingli
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (26) : 1 - 31
[7] Stability analysis and Hopf bifurcation for two-species reaction-diffusion-advection competition systems with two time delays
Alfifi, H. Y.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2024, 474
[8] On a Free Boundary Problem for a Two-Species Weak Competition System
Guo, Jong-Shenq
Wu, Chang-Hong
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2012, 24 (04) : 873 - 895
[9] On a Free Boundary Problem for a Two-Species Weak Competition System
Jong-Shenq Guo
Chang-Hong Wu
[J]. Journal of Dynamics and Differential Equations, 2012, 24 : 873 - 895
[10] GLOBAL DYNAMICS OF A NONLOCAL REACTION-DIFFUSION-ADVECTION TWO-SPECIES PHYTOPLANKTON MODEL
Jiang, Danhua
Cheng, Shiyuan
Li, Yun
Wang, Zhi-Cheng
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (09) : 3841 - 3853

← 1 2 3 4 5 →