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Mathematical analysis and stability of a chemotaxis model with logistic term

Tello, J. Ignacio (2004) Mathematical analysis and stability of a chemotaxis model with logistic term. Mathematical Methods in the Applied Sciences, 27 (16). pp. 1865-1880. ISSN 0170-4214

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Official URL: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476

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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.


Item Type:Article
Uncontrolled Keywords:Chemotaxis; Stability of stationary solutions; Parabolic equations; Reinforced random walks
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:12295
Deposited On:01 Mar 2011 09:33
Last Modified:06 Feb 2014 09:21

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