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Stability of solutions of chemotaxis equations in reinforced random walks

Tello del Castillo, José Ignacio and Friedman, Avner (2002) Stability of solutions of chemotaxis equations in reinforced random walks. Journal of Mathematical Analysis and Applications, 272 (1). pp. 138-163. ISSN 0022-247X

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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.


Item Type:Article
Uncontrolled Keywords:Chemotaxis; Reinforced random walk; Parabolic equations; Stability of stationary solutions
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:12271
Deposited On:21 Feb 2011 12:00
Last Modified:30 Aug 2011 08:32

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