Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source. (English) Zbl 1530.92022
Summary: In this work, we consider the chemotaxis system with with singular sensitivity and signal production in a bounded domain with smooth boundary. We present a parabolic-parabolic-elliptic system that admits a globally bounded classical solution. Our result generalizes and improves upon some well-known results in the literature.
MSC:
| 92C17 | Cell movement (chemotaxis, etc.) |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
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