Abstract
In this paper, a 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect is studied. The global existence and uniqueness of classical solution is proved. Furthermore, we prove that the global solution is uniformly bounded in time. With the help of a suitable non-smooth Simon-eojasiewicz approach, we obtain the results on convergence of the solution to equilibrium and the convergence rate.
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