Abstract

AbstractIn this paper, we study the following chemotaxis system with singular sensitivity and logistic source in a smooth bounded convex domain () with the non‐flux boundary, where . The boundedness of solutions has been proved in the case that , and r, satisfying (Zhao and Zheng, 2019). This paper mainly aims to give the large time behavior of bounded solutions and prove that the global classical solution will exponentially converge to as if μ is suitably large.

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