Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays

被引：94

作者：

Huang, JH

Zou, XF ^{[1
]}

机构：

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

[2] Cent China Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 271卷 / 02期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

traveling wave front; non-quasimonotone; upper solution; lower solution; iteration;

D O I：

10.1016/S0022-247X(02)00135-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of traveling wave front solutions is established for diffusive and cooperative Lotka-Volterra system with delays. The result is an extension of an existing result for delayed logistic scaler equation to systems, and is somewhat parallel to the existing result for diffusive and competitive Lotka-Volterra systems without delay. The approach used in this paper is the upper-lower solution technique and the monotone iteration recently developed by Wu and Zou (J. Dynam. Differential Equations 13 (2001) 651-687) for delayed reaction-diffusion systems without the so-called quasi monotonicity. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：455 / 466

页数：12

共 14 条

[1]

[Anonymous], ARCH RATION MECH ANA

[2]

Fife P. C., 1979, LECT NOTES BIOMATHEM, V28

[3] The wave of advance of advantageous genes [J].

Fisher, RA .

ANNALS OF EUGENICS, 1937, 7 :355-369

[4]

GOURLEY SA, IN PRESS COMPUT MATH

[5]

HALE J. K., 2013, Introduction to functional differential equations

[6] Traveling Wave Fronts of Reaction-Diffusion Systems with Delay [J].

Jianhong Wu ;

Xingfu Zou .

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]

Kuang Y, 1993, Mathematics in Science and Engineering

[9] Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem [J].

Ma, SW .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 171 (02) :294-314

[10]

Murray J.D, 1989, Mathematical Biology, V19

← 1 2 →