Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production

DOI10.1016/j.aml.2023.108928zbMath1530.35059OpenAlexW4388714799MaRDI QIDQ6141023

Youshan Tao, Hong-yi Zhang

Publication date: 2 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108928

zbMATH Keywords

chemotaxisglobal existenceindirect signal

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Application of an Adams type inequality to a two-chemical substances chemotaxis system
• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• The impact of phenotypic heterogeneity on chemotactic self-organisation
• Global Boundedness in a quasilinear fully parabolic chemotaxis system with indirect signal production
• Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity
• Boundedness of solutions to a virus infection model with saturated chemotaxis
• Boundedness vs. blow-up in a chemotaxis system
• Stabilization in a chemotaxis model for tumor invasion
• A critical blow-up exponent for flux limiation in a Keller-Segel system

This page was built for publication: Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production