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.
Publié le : 2005-09-14
Classification:
Chemotaxis system,
structure of solutions,
exact solution,
invariant manifold,
35K50,
35M10,
35B40,
92C17
@article{1175797442,
author = {Nagai, Toshitaka},
title = {Structure of Solutions to a Chemotaxis System in One Space Dimension},
journal = {Methods Appl. Anal.},
volume = {12},
number = {1},
year = {2005},
pages = { 221-238},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797442}
}
Nagai, Toshitaka. Structure of Solutions to a Chemotaxis System in One Space Dimension. Methods Appl. Anal., Tome 12 (2005) no. 1, pp. 221-238. http://gdmltest.u-ga.fr/item/1175797442/