Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect

被引：13

作者：

Li, Dong ^{[1
,2
]}

Guo, Shangjiang ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Chongqing Univ Posts & Telecommun, Coll Sci, Chongqing 400065, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 467卷 / 02期

关键词：

Reaction-diffusion model; Chemotaxis; Nonlocal delay effect; Periodic traveling waves; Perturbation method; LOGISTIC SOURCE; GROWTH SYSTEM; EQUATIONS; BACTERIA; BOUNDEDNESS; BIFURCATION; ATTRACTOR; FRONTS; BANDS;

D O I：

10.1016/j.jmaa.2018.07.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of periodic traveling wave solutions with large wave speed for a reaction-diffusion model with chemotaxis and nonlocal delay effect by applying the perturbation method. The proof relies on an abstract formulation of the wave profile as a solution of an operator equation in a certain Banach space, coupled with the Lyapunov-Schmidt reduction and the implicit function theorem. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1080 / 1099

页数：20

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