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具有阶段结构的非局部时滞扩散模型的行波解

Traveling Wave Solutions in a Nonlocal Diffusive-Delayed Model with Stage Structure
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摘要 研究了一个弱耦合的非局部时滞反应扩散人口模型,得出了只要成年个体的扩散系数充分小,该模型就存在有非负行波解。其结果推广了吴事良得出的一个结论。 In this paper, we consider a partially coupled non-local delayed-diffusive population model. The sufficient condition of existence of traveling wave solutions of system is obtained. In particular, our criteria generalize and improve some known results.
作者 赵海琴
机构地区 咸阳师范学院数学系
出处 《咸阳师范学院学报》 2007年第6期4-5,共2页 Journal of Xianyang Normal University
基金 咸阳师范学院引进人才项目(06XSYK247)
关键词 时滞 行波解 非局部效应 阶段结构 time delay traveling wave solutions non-local effect stage structure
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Gourley S A, Kuang, Y. Wave fronts and global stability in a time-delayed population model stage structure [J].Proc R Soc Lond, 2003, 459(A): 1563-1579.
  • 2吴事良,欧阳资考,赵海琴.具有阶段结构的非局部时滞扩散模型的波前解[J].甘肃科学学报,2007,19(3):19-22. 被引量：2
  • 3Wu J, Zou X. Traveling wave fronts of reaction diffusion system with delay [J].Dynam Differential Equation, 2001, 13: 651-687.
  • 4Al-Omari J, Gourley S A.Montone traveling wave fronts in an age-structured reaction-diffusion model of a single species [J]. J. Math. Biol.,2002,45 : 294-312.
  • 5Al-Omari J, Gourley S A.Monotone wave-fronts in a structured population model with distributed maturation delay[J]. IMA. J. Appl. Math.,2005,16: 1-22.
  • 6Ye Q X, Li Z Y.Introduction to Reaction Diffusion equations [M].Beijing: Science Press, 1994.
  • 7Al-Omari J,Gourley S A.A non-local reaction-diffusion model for a single species with stage structure and distributed maturation delay[J]. Euro. J. Appl. Math., 2005,16:37-51.
  • 8S. L. Wu and W. T. Li. Stability and traveling wave fronts in Lotka-Volterra cooperation model with stage structure[J]. Acta Math. Sci in chinese,2008, in press.

二级参考文献8

  • 1罗维刚,刘捷.一类时滞反应扩散方程的渐近行为[J].甘肃科学学报,2007,19(2):32-34. 被引量：3
  • 2Aiello A G,Freedman H I.A Time-delay Model of Species Growth with Stages Atructure[J].Math Biosci,1990,101:139-153.
  • 3Al-Omari J,Gourley S A.Montone Traveling Fronts in an Age-structured Reaction-diffusion Model of a Single Species[J].J Math Biol,2002,45:294-312.
  • 4Al-Omari J,Gourley S A.Monotone Wave-fronts in a Stuctured Population Model with Distributed Maturation Delay[J].IMA J Appl Math,2005,1-22.
  • 5Deners D,Medina K.Abatract Evolution Equation,Periodic Problems and Applicationa[M].Pitman Research Notes in Mathematics,no.279,Harlow,UK:Longman,1992.
  • 6Gourley S A.Wave Front Solution of a Diffusive Delay Model for Population of Daphnia Magna[J].Comput Math Appl,2001,42:1421-1430.
  • 7Gourley S A,Kuang Y.Wave Fronts and Global Stability in a Time-delayed Popuation Modl Stage Structure[J].Proc R Soc Lond,2003,459(A):1563-1579.
  • 8Wu J,Zou X.Traveling Wave Fronts of Reaction Diffusion System with Delay[J].J Dynam Differential Equation,2001,13:651-687.

共引文献1

咸阳师范学院学报
2007年 第6期

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