title: Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension.
abstract: We establish the existence of global classical solutions and non-trivial steady states of a one-dimensional attraction-repulsion chemotaxis model subject to the Neumann boundary conditions. The results are derived based on the method of energy estimates and the phase plane analysis.
authors.affiliation: Department of Mathematics and Statistics, University of West Florida, Pensacola, FL 32514, USA. jliu@uwf.edu
authors.forename: Jia
authors.initials: J
authors.lastname: Liu
authors.forename: Zhi-An
authors.initials: ZA
authors.lastname: Wang
mesh_terms: D000818:Animals; D002633:Chemotaxis; D004023:Dictyostelium / Q000166:cytology; D008954:Models, Biological