Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response

被引：0

作者：

Yan, Rui ^{[1
]}

Liu, Guirong ^{[2
]}

机构：

[1] Shanxi Univ Finance & Econ, Sch Appl Math, Taiyuan 030006, Shanxi, Peoples R China

[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷

基金：

中国国家自然科学基金;

关键词：

ASYMPTOTIC STABILITY; GLOBAL STABILITY; LOCAL STABILITY; FRONTS; EXISTENCE; MODEL;

D O I：

10.1155/2017/4614925

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The stability of a reaction advection diffusion equation with nonlinear-nonlocal functional response is concerned. By using the technical weighted energy method and the comparison principle, the exponential stability of all noncritical traveling waves of the equation can be obtained. Moreover, we get the rates of convergence. Our results improve the previous ones. At last, we apply the stability result to some real models, such as an epidemic model and a population dynamic model.

引用

页数：13

共 50 条

[1] Asymptotic patterns of a reaction-diffusion equation with nonlinear-nonlocal functional response
Tian, Yanling
Weng, Peixuan
Tian, Y. (tianyl@scnu.edu.cn), 1600, Oxford University Press (78): : 70 - 101
[2] Asymptotic patterns of a reaction-diffusion equation with nonlinear-nonlocal functional response
Tian, Yanling
Weng, Peixuan
IMA JOURNAL OF APPLIED MATHEMATICS, 2013, 78 (01) : 70 - 101
[3] Nonlinear Stability of Traveling Wavefronts for Delayed Reaction-diffusion Equation with Nonlocal Diffusion
Ma, Zhaohai
Yuan, Rong
TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (04): : 871 - 896
[4] Stability of traveling wavefronts for advection-reaction-diffusion equation
Mei, Ming
Xie, Ruijun
APPLIED MATHEMATICS LETTERS, 2024, 154
[5] Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation
Yan, Rui
Liu, Guirong
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
[6] Stability of Traveling Wave Fronts for Nonlocal Diffusion Equation with Delayed Nonlocal Response
Cheng, Hongmei
Yuan, Rong
TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (04): : 801 - 822
[7] Speed selection for traveling waves of a reaction-diffusion-advection equation in a cylinder
Huang, Zhe
Ou, Chunhua
PHYSICA D-NONLINEAR PHENOMENA, 2020, 402
[8] Regular traveling waves for a nonlocal diffusion equation
Xu, Zhaoquan
Xiao, Dongmei
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (01) : 191 - 223
[9] TRAVELING WAVES FOR A BISTABLE EQUATION WITH NONLOCAL DIFFUSION
Achleitner, Franz
Kuehn, Christian
ADVANCES IN DIFFERENTIAL EQUATIONS, 2015, 20 (9-10) : 887 - 936
[10] Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
Wang, Zhi-Cheng
Li, Wan-Tong
Ruan, Shigui
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 238 (01) : 153 - 200

← 1 2 3 4 5 →