1999-08-02Buch DOI: 10.18452/2696
A Non-linear Parabolic System Modeling Chemotaxis with Sensitivity Functions
We study a model for chemotaxis on a general Lipschitz domain where the chemotactic response is specified by sensitivity functions. After finding a Lyapunov function for the system, we demonstrate existence of global solutions for different classes of sensitivity functions and show convergence to possibly non-trivial steady states.
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