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一类趋化性模型行波解的存在性 被引量：2

Existence of the Traveling Wave Solutions for a Chemotaxis Equations
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摘要 讨论了一类基于趋化性现象的强耦合非线性偏微分方程组,利用相轨分析方法,得到了该趋化性模型行波解存在的充分条件和必要条件. We study a strong coupling nonlinear partial differential equations, which modeling the chemotaxis phenomenon. In terms of similar phase plane method, some necessary or sufficient conditions for the existence of traveling wave solutions are ob- tained.
作者 陈学勇 杨茵
机构地区 许昌学院数学与统计学院 华中科技大学数学与统计学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2012年第5期817-828,共12页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(10802043) 河南省教育厅自然科学基金资助项目(12A110020)
关键词 行波 趋化性 强耦合系统:相轨分析法 traveling wave chemotaxis strongly coupled systems similar phase planemethod
分类号 O175.29 [理学—基础数学]
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参考文献1

二级参考文献10

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  • 2Keller E F, Segel L A. Traveling Bands of Chemotactic Bacteria: a Theoretical Analysis. J. Theoret.Biol., 1971, 30:235-248.
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共引文献4

同被引文献19

  • 1Keller E F, Segel L A. Initiation of slime mold aggregation viewed as an instability. Journal of Theoretical Biology, 1970, 26(3): 399-415.
  • 2Othmer H G, Stevens A. Aggregation, blowup, and collapse: the ABCs of taxis in reinforced random walks. SIAM Journal on Applied Mathematics, 1997, 57(4): 1044-1081.
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  • 6Nagai T, Ikeda T. Traveling waves in a chemotactic model. Journal of Mathematical Biology, 1991, 30(2): 169-184.
  • 7Horstmann D, Stevens A. A constructive approach to traveling waves in chemotaxis. J Nonlinear Sci, 2004, 14(1): 1-25.
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  • 9Xue C, Hwang H J, Painter K J, Erban R. Travelling waves in hyperbolic chemotaxis equations. Bull Math Biol, 2011,73(8): 1695-1733.
  • 10Li T, Wang Z A. Nonlinear stability of traveling waves to a hyperbolieparabolic system modeling chemo- taxis. SIAM J Appl Math, 2009, 70(5): 1522-1541.

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数学学报（中文版）
2012年 第5期

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