Methods and Applications of Analysis
Volume 12 (2005)
Structure of Solutions to a Chemotaxis System in One Space Dimension
Pages: 221 – 238
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.
Chemotaxis system; structure of solutions; exact solution; invariant manifold
2010 Mathematics Subject Classification
35B40, 35M10, 92C17