RT Journal Article
SR 00
ID 10.1002/mma.528
A1 Tello del Castillo, JosÃ© Ignacio
T1 Mathematical analysis and stability of a chemotaxis model with logistic term.
JF Mathematical methods in the applied sciences
YR 2004
FD 2004-06-17
VO 27
IS 16
SP 1865
OP 1880
K1 Chemotaxis; stability of stationary solutions; parabolic equations; reinforced random walks
AB In this paper we study a non-linear system of dierential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable assumptions, the existence of one global solution to the evolution problem in terms of weak solutions and the stability of the steady states.
PB John Wiley & Sons
SN 0170-4214
LK http://oa.upm.es/45811/
UL http://onlinelibrary.wiley.com/doi/10.1002/mma.528/full