The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source. (English) Zbl 07874571
Summary: 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.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B51 | Comparison principles in context of PDEs |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 35K59 | Quasilinear parabolic equations |
| 92C17 | Cell movement (chemotaxis, etc.) |
Keywords:
chemotaxis; density-suppressed motility; logistic source; asymptotic behavior; convergence rate; elliptic-parabolic systemReferences:
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