Friedman, AvnerTello, J. Ignacio2007-08-162007-08-162001-04https://hdl.handle.net/11299/3592In this paper we consider a nonlinear system of differential equations consisting of one parabolic equation and one ordinary differential equation. The system arises in chemotaxis, a process whereby living organisms respond to chemical substance, or by aggregating or dispersing. We prove that stationary solutions of the system are asymptotically stable.