TY - JOUR N2 - 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. IS - 16 JF - Mathematical methods in the applied sciences VL - 27 UR - http://onlinelibrary.wiley.com/doi/10.1002/mma.528/full AV - public ID - upm45811 SP - 1865 A1 - Tello del Castillo, José Ignacio SN - 0170-4214 KW - Chemotaxis; stability of stationary solutions; parabolic equations; reinforced random walks Y1 - 2004/06/17/ TI - Mathematical analysis and stability of a chemotaxis model with logistic term. PB - John Wiley & Sons EP - 1880 ER -