On the geometry of wave solutions of a delayed reaction-diffusion equation

被引：25

作者：

Trofimchuk, Elena ^{[2
]}

Alvarado, Pedro ^{[1
]}

Trofimchuk, Sergei ^{[1
]}

机构：

[1] Univ Talca, Inst Matemat & Fis, Talca, Chile

[2] Natl Tech Univ, Dept Differential Equat, Kiev, Ukraine

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 04期

关键词：

Time-delayed reaction-diffusion equation; Heteroclinic solutions; Non-monotone positive travelling fronts; FUNCTIONAL-DIFFERENTIAL EQUATIONS; DISCRETE POPULATION-MODELS; TRAVELING-WAVES; GLOBAL STABILITY; ASYMPTOTIC-BEHAVIOR; INTEGRAL-EQUATIONS; FRONTS; SPEEDS; PROPAGATION; SYSTEMS;

D O I：

10.1016/j.jde.2008.10.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study the existence and the geometry of positive bounded wave solutions to a non-local delayed reaction-diffusion equation of the monostable type. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1422 / 1444

页数：23

共 50 条

[11] 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
[12] Global dynamics of a nonlocal delayed reaction-diffusion equation on a half plane
Hu, Wenjie
Duan, Yueliang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (02):
[13] Travelling wave solutions for Kolmogorov-type delayed lattice reaction-diffusion systems
Hsu, Cheng-Hsiung
Lin, Jian-Jhong
Yang, Ting-Hui
IMA JOURNAL OF APPLIED MATHEMATICS, 2015, 80 (05) : 1336 - 1367
[14] TRAVELING WAVE SOLUTIONS IN A NONLOCAL REACTION-DIFFUSION POPULATION MODEL
Han, Bang-Sheng
Wang, Zhi-Cheng
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (03) : 1057 - 1076
[15] TRAVELING WAVE SOLUTIONS FOR TIME PERIODIC REACTION-DIFFUSION SYSTEMS
Bo, Wei-Jian
Lin, Guo
Ruan, Shigui
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (09) : 4329 - 4351
[16] DYNAMICAL BEHAVIORS OF A DELAYED REACTION-DIFFUSION EQUATION
Ge, Zhihao
MATHEMATICAL & COMPUTATIONAL APPLICATIONS, 2010, 15 (05) : 762 - 767
[17] On the existence of traveling waves for delayed reaction-diffusion equations
Wang, Haiyan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (03) : 887 - 905
[18] Traveling Waves Solutions for Delayed Temporally Discrete Non-Local Reaction-Diffusion Equation
Guo, Hongpeng
Guo, Zhiming
MATHEMATICS, 2021, 9 (16)
[19] Dirichlet Problem of a Delayed Reaction-Diffusion Equation on a Semi-infinite Interval
Yi, Taishan
Zou, Xingfu
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2016, 28 (3-4) : 1007 - 1030
[20] Traveling wave behavior for a nonlinear reaction-diffusion equation
Feng, ZS
Chen, GN
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (05): : 643 - 664A

← 1 2 3 4 5 →