Address: Department of Mathematics, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
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Abstract: This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.
AMSclassification: primary 35B40; secondary 35K59, 92C17.
Keywords: chemotaxis, quasilinear, attraction-repulsion, stabilization.
DOI: 10.5817/AM2023-2-163