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Mathematical analysis and stability of a chemotaxis model with logistic term

✍ Scribed by J. Ignacio Tello

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
130 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we study a non‐linear system of differential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable assumptions, the existence of one global solution to the evolution problem in terms of weak solutions and the stability of the steady states. Copyright Β© 2004 John Wiley & Sons, Ltd.

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