期刊文献+

具有离散时滞的非局部单物种种群模型的行波解

Travelling Wave Solutions of a Nonlocal Single Species Model with Discrete Delay
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摘要 研究了一类具有离散时滞的非局部单物种种群模型的行波解的存在性,证明了当时滞充分小时,方程具有连接两个平衡点的单调行波解。 To concern the existence of monotonic traveling wave solutions in a nonlocal single species population model with diffusion and discrete delay, and show that for sufficiently small delay, equation admits a monotonic travelling wave solution which connects two uniform steady states, and obtains some new results.
出处 《咸阳师范学院学报》 2006年第2期7-9,共3页 Journal of Xianyang Normal University
基金 甘肃省自然科学基金资助项目(3ZS042-B25-013) 甘肃省教育厅科研基金资助项目(0416B-08及048-02)
关键词 非局部 行波解 上下解 单物种模型 nonlocal traveling wave solution super- and sub-solution single species model
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参考文献4

  • 1丁玮,韩茂安.具时滞的人口模型的行波解(英文)[J].生物数学学报,2005,20(1):11-16. 被引量:11
  • 2Gourley S A .Wave front solutions of a diffusive delay model for populations of daphnia magna [J]. Comput Math Appl, 2001,42 : 1421-1430.
  • 3Wu J, Zou X.Travelling wave fronts of reaction-diffusion systems with delay [J].J Dynam Diff Eqns,2001,13: 651-687.
  • 4Wang Z C,Li W T, Ruan S.Travelling wave fronts of reaction-diffusion systems[J]. with spatio-temporal delays J Differential Equations(in press).

二级参考文献8

  • 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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