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具有阶段结构的非局部时滞扩散模型的波前解 被引量：2

Traveling Wave Solutions in a Nonlocal Diffusive-Delayed Model with Staged Structures
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摘要 研究了一个弱耦合的非局部时滞扩散人口模型.通过将Wu和Zou[3]中的方法进行推广,建立了该模型中描述成年个体方程波前解的存在性.进一步证明了一定条件下该模型行波解的存在性.其结果推广并改进了一些已有的结论. A partially coupled model of non-local delayed-diffusive population was considered. The existence of traveling wave solutions of the mature equation was established by extending the method of Wu and Zou. Moveover, we proved that under certain the conditions the traveling wave solutions of the model were existent. Some known results have been generalized and improved.
作者 吴事良 欧阳资考 赵海琴
机构地区 西安电子科技大学理学院 内江师范学院数学系 咸阳师范学院数学系
出处 《甘肃科学学报》 2007年第3期19-22,共4页 Journal of Gansu Sciences
关键词 时滞 波前解 非局部效应 阶段结构 time-delay traveling wave solutions non-local effect staged structure
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献8

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二级参考文献10

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共引文献2

同被引文献12

  • 1臧子龙.一类二阶非线性常微分方程解的长时间行为[J].甘肃科学学报,2006,18(2):4-8. 被引量：4
  • 2Gourley 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.
  • 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.
  • 9Al-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.
  • 10Al-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.

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甘肃科学学报
2007年 第3期

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