We study a kinetic model for chemotaxis introduced by Othmer, Dunbar, and Alt, which was motivated by earlier results of Alt, presented in , . In two papers by Chalub, Markowich, Perthame and Schmeiser, it was rigorously shown that, in three dimensions, this kinetic model leads to the classical Keller-Segel model as its drift-diffusion limit when the equation of the chemo-attractant is of elliptic type. As an extension of these works we prove that such kinetic models have a macroscopic diffusion limit in both two and three dimensions also when the equation of the chemo-attractant is of parabolic type, which is the original version of the chemotaxis model.
|Number of pages||16|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 2005 May|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics