Nagai T, Ikeda T
Department of Mathematics, Kyushu Institute of Technology, Kitakyushu, Japan.
J Math Biol. 1991;30(2):169-84. doi: 10.1007/BF00160334.
A model for chemotaxis in a bacteria-substrate mixture introduced by Keller and Segel, which is described by nonlinear partial differential equations, is studied analytically. The existence of traveling waves is shown for the system in which the substrate diffusion is taken into account and the chemotactic coefficient is greater than the motility one, and the instability of traveling waves is discussed.
研究了凯勒和西格尔提出的一种细菌 - 底物混合物中趋化作用的模型，该模型由非线性偏微分方程描述。给出了考虑底物扩散且趋化系数大于运动系数的系统中行波的存在性，并讨论了行波的不稳定性。
