The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source

Abstract

This paper is concerned with a class of parabolic-elliptic chemotaxis models with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain. With some conditions on the density-suppressed motility function, we show the convergence rate of solutions is exponential as time tends to infinity for such kind of models.