SPREADING SPEEDS AND TRAVELING WAVES FOR NONMONOTONE INTEGRODIFFERENCE EQUATIONS

被引：150
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
    ARONSON, DG
    WEINBERGER, HF
    [J]. ADVANCES IN MATHEMATICS, 1978, 30 (01) : 33 - 76
  • [3] THRESHOLDS AND TRAVELING WAVES FOR THE GEOGRAPHICAL SPREAD OF INFECTION
    DIEKMANN, O
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1978, 6 (02) : 109 - 130
  • [4] Travelling waves for delayed reaction-diffusion equations with global response
    Faria, T
    Huang, W
    Wu, JH
    [J]. 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
    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
    [J]. ECOLOGY LETTERS, 2005, 8 (01) : 91 - 101
  • [7] 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
  • [8] Dispersal data and the spread of invading organisms
    Kot, M
    Lewis, MA
    vandenDriessche, P
    [J]. 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
    Levine, Jonathan M.
    Pachepsky, Elizaveta
    Kendall, Bruce E.
    Yelenik, Stephanie G.
    Hille Ris Lambers, Janneke
    [J]. ECOLOGY LETTERS, 2006, 9 (09) : 1005 - 1014
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