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Existence of Travelling Wave Fronts to a Delayed Lattice Model for Population 被引量：1

一类时滞格种群模型波前解的存在性(英文)
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摘要 This paper considers the travelling wave fronts to a delayed lattice differential equation. The existence of the travelling wave solutions is proved by making use of the technique of the upper and lower solutions developed by J Wu and X Zou in [6]. This work extends that of [4] in a general class of nonlinear terms.
作者 孙风兰 汤燕斌
机构地区 Department of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第1期96-102,共7页 数学季刊（英文版）
基金 the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry(20030917)
关键词 travelling wave front lattice differential equation delay upper and lower solutions 时滞 格种群模型 波前解 存在性
分类号 O175.26 [理学—基础数学]
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  • 1Schaaf K W. Asymptotic behavior and traveling wave solutions for parabolic functional differential equations[J]. Trans Amer Math Soc, 1987, 302(2):587-615.
  • 2Zou X,Wu J. Existence of traveling wave fronts in delayed reaction diffsion systems via the monotone iteration method[J]. Proc Amer Math Soc, 1997, 125(9):2589-2598.
  • 3Jianhua Huang, Xinfu Zou. Existence of traveling wave fronts of delayed lattice differential equations[J].Memorial Uniuer, 2004, 298(2):538-558.
  • 4Shiwang Ma. Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem[J]. J Differential Equations, 2001, 171(2):294-314.
  • 5Wu J, Zou X. Traveling Wave Fronts of Reaction Diffusion Systems with Delay[M]. New York: J Dynam Diff Equs, 2001, 13(3):651-687.
  • 6Joseph W. -H. So, and Xinfu Zou. Traveling waves for diffusive nicholson's blowflies equation[J]. Applied Math and Computation, 2001, 122(3):385-392.
  • 7Wu J, Zou X. Asymptotic and periodic boundary value problem of mixed fdes and wave solutions of lattice differential equations[J]. J Differential Equations, 1997, 135(2):315-357.
  • 8Gourley S A. Wave solutions of a diffusive delay model for populations of Daphnia magna[J]. Computer Math Appl, 2001, 42(12):1421-1430.

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Chinese Quarterly Journal of Mathematics
2008年 第1期

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