Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions

DOI10.1016/j.aml.2022.108108zbMath1491.35078OpenAlexW4225769504WikidataQ114210497 ScholiaQ114210497MaRDI QIDQ2673709

Giuseppe Viglialoro, Silvia Frassu

Publication date: 13 June 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108108

zbMATH Keywords

boundednesschemotaxisglobal existenceindirect consumption

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

Boundedness in a two-species chemotaxis system with nonlinear resource consumption ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models with signal-dependent sensitivity in high dimensions ⋮ Robust stability of uncertain stochastic switched inertial neural networks with time‐varying delay using state‐dependent switching law ⋮ Analysis of long‐time solution of chemotactic model with indirect signal consumption in three‐dimensional case ⋮ The Beverton-Hold model on isolated time scales ⋮ Asymptotic stability of spiky steady states for a singular chemotaxis model with signal-suppressed motility

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