Periodic traveling waves in reaction diffusion systems with delays

被引：0

作者：

Wang, ZC ^{[1
]}

Zhang, ZQ

Zou, X

机构：

[1] Hunan Univ, Dept Math, Changsha 410082, Hunan, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2003年 / 10卷 / 1-3期

关键词：

reaction diffusion equations; traveling waves; functional differential equations; periodic solutions; coincidence degree;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of periodic traveling waves in systems of reaction diffusion. equations with delays are studied. Instead of bifurcation approach which usually involves analyzing very complicated characteristic equations, a continuation theorem of coincidence degree theory is employed.

引用

页码：59 / 74

页数：16

共 14 条

[1] BRITTON NF, 1988, REACTION DIFFUSION E
[2] Fife P. C., 1979, LECT NOTES BIOMATHEM, V28
[3] The wave of advance of advantageous genes
Fisher, RA
[J]. ANNALS OF EUGENICS, 1937, 7 : 355 - 369
[4] Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[5] Gardner R, 1995, B AM MATH SOC, V32, P446
[6] Traveling Wave Fronts of Reaction-Diffusion Systems with Delay
Jianhong Wu
Xingfu Zou
[J]. Journal of Dynamics and Differential Equations, 2001, 13 (3) : 651 - 687
[7] Kolmogorov A., 1937, Bull. Moscow State Univ. Ser. A: Math. Mech, V1, P1
[8] KOPELL N, 1973, STUD APPL MATH, V52, P291
[9] Murray J.D, 1989, Mathematical Biology, V19
[10] SCHAAF KW, 1987, T AM MATH SOC, V302, P587

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