Global dynamics for a two-species chemotaxis system with loop. (English) Zbl 1536.92021
Summary: In this paper, we are concerned with the two-species and two-stimuli chemotaxis system with loop in a bounded domain with smooth boundary. Under appropriate regularity assumptions of the initial data, we show that the system possesses a unique and global bounded classical solution. In addition, the asymptotic behavior of the solutions is discussed. Our results generalize and improve partial previously known ones.
MSC:
| 92C17 | Cell movement (chemotaxis, etc.) |
| 35K45 | Initial value problems for second-order parabolic systems |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35B40 | Asymptotic behavior of solutions to PDEs |
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