Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay

被引：1
|
作者：
Wu, Xin [2 ]
Ma, Zhaohai [1 ]
机构：
[1] China Univ Geosci, Sch Sci, Beijing 100083, Peoples R China
[2] East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
来源：
OPEN MATHEMATICS | 2022年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
stability; delayed reaction-diffusion system; traveling waves; weighted-energy method; NICHOLSONS BLOWFLIES EQUATION; REACTION-DIFFUSION EQUATIONS; ASYMPTOTIC STABILITY; NONLINEAR STABILITY; GLOBAL STABILITY; FRONTS; SYSTEM;
D O I：
10.1515/math-2022-0508
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al. [Traveling waves for a nonlocal dispersal SIR model with delay and external supplies, Appl. Math. Comput. 247 (2014), 723-740]. We prove that the traveling wave solution is exponentially stable when the initial perturbation around the traveling wave is relatively small in a weighted norm. The time decay rate is also obtained by weighted-energy estimates.
引用
收藏
页码：1451 / 1469
页数：19
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