title: Traveling waves in a chemotactic model.
abstract: 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.
authors.affiliation: Department of Mathematics, Kyushu Institute of Technology, Kitakyushu, Japan.
authors.forename: T
authors.initials: T
authors.lastname: Nagai
authors.forename: T
authors.initials: T
authors.lastname: Ikeda
mesh_terms: D018407:Bacterial Physiological Phenomena; D002633:Chemotaxis; D004058:Diffusion; D008433:Mathematics; D008954:Models, Biological; D012996:Solutions / Q000737:chemistry
chemical_list: D012996:Solutions