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

共 50 条

[1] Traveling wavefronts in a reaction-diffusion model with chemotaxis and nonlocal delay effect
Li, Dong
Guo, Shangjiang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 45 : 736 - 754
[2] Existence of periodic traveling waves in a nonlocal convection-diffusion model with chemotaxis and delay effect
Liu, Kaikai
Guo, Shangjiang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (05):
[3] Existence of periodic traveling waves in a nonlocal convection–diffusion model with chemotaxis and delay effect
Kaikai Liu
Shangjiang Guo
Zeitschrift für angewandte Mathematik und Physik, 2023, 74
[4] Stability and Hopf Bifurcation in a Reaction-Diffusion Model with Chemotaxis and Nonlocal Delay Effect
Li, Dong
Guo, Shangjiang
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (04):
[5] Spreading speed and traveling waves for a nonmonotone reaction-diffusion model with distributed delay and nonlocal effect
Yao, Lin-Hong
Yu, Zhi-Xian
Yuan, Rong
APPLIED MATHEMATICAL MODELLING, 2011, 35 (06) : 2916 - 2929
[6] Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model
Autry, E. A.
Bayliss, A.
Volpert, V. A.
NONLINEARITY, 2017, 30 (08) : 3304 - 3331
[7] Monotonicity, uniqueness, and stability of traveling waves in a nonlocal reaction-diffusion system with delay
Zhao, Hai-Qin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (18) : 6702 - 6714
[8] Canard Traveling Waves in a Reaction-Diffusion Model
Shchepakina, Elena
2020 VI INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND NANOTECHNOLOGY (IEEE ITNT-2020), 2020,
[9] TIME PERIODIC TRAVELING WAVES FOR A PERIODIC NONLOCAL DISPERSAL MODEL WITH DELAY
Wu, Shi-Liang
Huang, Ming-di
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (10) : 4405 - 4421
[10] Traveling waves for a nonlocal delayed reaction-diffusion SIR epidemic model with demography effects
Zhang, Wenhui
Wu, Weixin
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2024, 39 (04): : 630 - 652

← 1 2 3 4 5 →