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一维趋化模型方程的精确解 被引量：1

Exact solutions for chemotaxis model in 1-D
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摘要 研究了一类简化的Keller-Segel趋化模型,对于双曲趋化模型的Cauchy问题,给出了经典解整体存在的充分必要条件.对于抛物模型,利用试探函数的方法给出了它们的精确解. The paper concerns with Keller-Segel Chemotaxis model in 1-D, for Cauchy problem of hyperbolic model, a sufficient and necessary condition for guaranteeing global existence of classical solution is given, and for parabolic model, we construct some exact solutions by using of trial function method.
作者 刘法贵 闫春风
机构地区 华北水利水电学院数学系
出处 《周口师范学院学报》 CAS 2008年第2期26-28,共3页 Journal of Zhoukou Normal University
基金 国家自然科学基金资助项目(No.19071024)
关键词 趋化现象 经典解 精确解 试探函数 chemotaxis explicit and exact solutions classical solution trial function method
分类号 O175 [理学—基础数学]
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参考文献10

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二级参考文献9

  • 1H. G. Othmer and P. Schaap. Oscillatory CAMP Signaliong in the development of Dictyostelium discoideum[J]. Comments on Theor Biology. 1985,5 : 175-282.
  • 2J. I. Gallin, P. G. Quie. Leukocyte chemotaxis: methods, physiology, and clinical implications[M].New York: Raven Press, 1978. 47-51.
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  • 4E. F. Keller, L. A. Segel. Initiation of slime mold aggregation viewed as an instability[J]. J. Theo. Biology, 1970,26 : 399-415.
  • 5T. H illen, A. Stevens. Hyperbolic models for chemotaxis in 1-D[J]. Nonlinear Analysis:Real World Applications,2000, 1,409-433.
  • 6J. D. Murry. Mathematical Biogy[M]. New York: Springer, 1989. 272-293.
  • 7J. Smoller. Shock Waves and Reaction-Diffusion Equations [M]. 2nd ed. New York: Springer-Verlag, 1994. 391-397.
  • 8H. A. Levine, B. D. Sleman. A system of reaction diffusion equations arising in the theory of reinforced random walks[J]. SIAM J Appl. Math. 1997,57(3):683-730.
  • 9R. Schaaf. Stationary solutions of chemotaxis systems [J]. Trans. Amer. Math. Soc. 1985,292:531-556.

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周口师范学院学报
2008年 第2期

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