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Stability of solutions of chemotaxis equations in reinforced random walks

By José Ignacio Tello del Castillo and Avner Friedman

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

Topics: Análisis matemático
Publisher: Elsevier
Year: 2002
DOI identifier: 10.1016/S0022-247X(02)00147-6
OAI identifier: oai:www.ucm.es:12271
Provided by: EPrints Complutense

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