Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth

By Jianping Wang, Mingxin Wang. Journal of Mathematics and Physics, 2019

107 citations recorded by the source corpus.

This paper concerns a higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth. It is shown that the strong logistic damping can prevent blow-up in the higher dimensions.This paper concerns a higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth. It is shown that the strong logistic damping can prevent blow-up in the higher dimensions.

Subfields: Genetics, Modeling and Simulation, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/9741d91701e9bb283acc668d7e93b37b11081916

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Citations in the corpus

Logistic damping effect in chemotaxis models with density-suppressed motility (2021, result): “Later, similar results were extended to higher dimensions (n ≥ 3) for large μ > 0 in [22] and [38].”
Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities (2022, background): “1) ([9], [1], [8], [28], [2], [3]), as well as some close variants ([12], [6], [11], [14], [30], [37], [22], [23]); beyond this, results on spatially structured large time behavior, and even on the occurrence of infinite-time blow-up ([7], [9], [13], [1], [4]), provide conclusive evidence for signif”
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities (2022, background): “also [19], [21], [38], [45], [28], [29] and [30] for corresponding studies on some close relatives), but also on large time asymptotics, and especially on the identification of situations in which either stabilization toward equilibria can be observed, or, alternatively, infinite-time blow-up occurs”
A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion (2022, unknown): “Besides basic results on global solvability (see [1], [14], [11], [10], [4], [15], [35], [34] and also [40]), several studies also include findings on asymptotic behavior, mainly identifying diffusion-dominated constellations in which solutions to either (1.”