Stability of solutions of chemotaxis equations in reinforced random walks |
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Authors: | Avner Friedman J.Ignacio Tello |
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Affiliation: | a Department of Mathematics, Ohio State University, Columbus, OH 43210, USA b Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain |
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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 by moving toward higher, or lower, concentrations of the chemical substance, or by aggregating or dispersing. We prove that stationary solutions of the system are asymptotically stable. |
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Keywords: | Chemotaxis Reinforced random walk Parabolic equations Stability of stationary solutions |
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