Boundedness of solutions to a quasilinear parabolic–elliptic Keller–Segel system with logistic source

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Dynamics in a parabolic-elliptic chemotaxis system with growth source and nonlinear secretion (2019, background): “[3, 5, 9, 22, 30], for a system with nonlinear diffusion, nonlinear chemosensitivity, generalized logistic source or nonlinear production.”
Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation (2018, background): “1), inter alia accounting for nonlinear cell diffusion ([51], [6], [41], [55], [58]), for variants in the cross-diffusive interaction ([53], [20], [4], [39], [57]) or also in the signal evolution, or even containing couplings to further mechanisms and components such as haptotactic cues ([5], [40], ”
Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source (2015, background): “In [3], it has been proved that when q = 1 with τ = 0, the solutions are bounded if μ > (1 − 2 n(1−p)+ )χ for the parabolic-elliptic case.”
Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source (2015, background): “Then a lot of variants of parabolic–elliptic simplifications have been considered, see [48,14, 53,11,46] and the references therein.”