Boundedness of solutions to a virus infection model with saturated chemotaxis

DOI10.1016/j.jmaa.2018.08.019zbMath1396.92006arXiv1711.01226OpenAlexW2962989773WikidataQ129371114 ScholiaQ129371114MaRDI QIDQ2414002

Bingran Hu, Johannes Lankeit

Publication date: 17 September 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01226

zbMATH Keywords

boundednesschemotaxisvirus infection modelclassical solvability

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

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Cites Work

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• Global properties of basic virus dynamics models
• Turing patterns from dynamics of early HIV infection
• Nondegeneracy of blow-up points for the parabolic Keller-Segel system
• Boundedness in a chemotaxis model with oxygen consumption by bacteria
• Initiation of slime mold aggregation viewed as an instability
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• A user's guide to PDE models for chemotaxis
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis
• Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
• Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
• Boundedness vs. blow-up in a chemotaxis system
• The Mathematics of Infectious Diseases
• Long-term behaviour in a chemotaxis-fluid system with logistic source
• Nonlinear PDEs
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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