Publication: Stability of solutions of chemotaxis equations in reinforced random walks
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Publication Date
2002-08
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Elsevier
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Abstract
In 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.