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Structure of Solutions to a Chemotaxis System in One Space Dimension
2005
Methods and Applications of Analysis
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We consider a chemotaxis system consisting of one parabolic equation and one ordinary differential equation in one space dimension with a logarithmic chemotactic sensitivity function and the exponential growth of dynamics for the chemical attractant. The structure of positive solutions is studied from the viewpoint of infinite-dimensional dynamical systems.
doi:10.4310/maa.2005.v12.n3.a1
fatcat:unqronkbpfewrjs3kdpdq3gdeu