SPREADING SPEEDS AND TRAVELING WAVES FOR NONMONOTONE INTEGRODIFFERENCE EQUATIONS

被引：154

作者：

Hsu, Sze-Bi ^{[1
]}

Zhao, Xiao-Qiang ^{[2
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 40卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

integrodifference equations; nonmonotone integral operators; spreading speeds; linear determinacy; traveling waves;

D O I：

10.1137/070703016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spreading speeds and traveling waves are established for a class of nonmonotone discrete-time integrodifference equation models. It is shown that the spreading speed is linearly determinate and coincides with the minimal wave speed of traveling waves.

引用

收藏

页码：776 / 789

页数：14

相关论文

共 23 条

[1]

Aronson D. G., 1975, LECT NOTES MATH, V446, P5

[2] MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS [J].

ARONSON, DG ;

WEINBERGER, HF .

ADVANCES IN MATHEMATICS, 1978, 30 (01) :33-76

[3] THRESHOLDS AND TRAVELING WAVES FOR THE GEOGRAPHICAL SPREAD OF INFECTION [J].

DIEKMANN, O .

JOURNAL OF MATHEMATICAL BIOLOGY, 1978, 6 (02) :109-130

[4] Travelling waves for delayed reaction-diffusion equations with global response [J].

Faria, T ;

Huang, W ;

Wu, JH .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2006, 462 (2065) :229-261

[5]

Hale J. K., 1991, DYNAMICS BIFURCATION

[6] The spatial spread of invasions: new developments in theory and evidence [J].

Hastings, A ;

Cuddington, K ;

Davies, KF ;

Dugaw, CJ ;

Elmendorf, S ;

Freestone, A ;

Harrison, S ;

Holland, M ;

Lambrinos, J ;

Malvadkar, U ;

Melbourne, BA ;

Moore, K ;

Taylor, C ;

Thomson, D .

ECOLOGY LETTERS, 2005, 8 (01) :91-101

[7] 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

[8] Dispersal data and the spread of invading organisms [J].

Kot, M ;

Lewis, MA ;

vandenDriessche, P .

ECOLOGY, 1996, 77 (07) :2027-2042

[9]

KOT M, 1992, J MATH BIOL, V30, P413, DOI 10.1007/BF00173295

[10] Plant-soil feedbacks and invasive spread [J].

Levine, Jonathan M. ;

Pachepsky, Elizaveta ;

Kendall, Bruce E. ;

Yelenik, Stephanie G. ;

Hille Ris Lambers, Janneke .

ECOLOGY LETTERS, 2006, 9 (09) :1005-1014