Global boundedness and asymptotic behavior in a fully parabolic attraction-repulsion chemotaxis model with logistic source. (English) Zbl 1527.35077
Summary: In this paper, we consider a fully parabolic attraction-repulsion chemotaxis model with logistic source. First of all, we obtain an explicit formula \(\mu_0\) for the logistic damping rate \(\mu\) such that the model has no blow-up when \(\mu>\mu_0\). In addition, the asymptotic behavior of the solutions is studied. Our results partially generalize and improve some results in the literature, and partially results are new.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 35K59 | Quasilinear parabolic equations |
| 92C17 | Cell movement (chemotaxis, etc.) |
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