Global boundedness and asymptotic behavior in a chemotaxis system with signal‐dependent motility and indirect signal absorption

Abstract

AbstractIn this paper we investigate the following chemotaxis system with signal‐dependent motility and indirect signal absorption in a bounded domain with smooth boundary. We present the global existence of classical solutions to the model (*) in two space dimensions with logistic source and in any dimension for small initial data without logistic source. In addition, the asymptotic behavior of the solutions is studied.