Publication: Mathematical analysis and stability of a chemotaxis
model with logistic term
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Publication Date
2004-11-10
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W. Spröβig
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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.