Analysis of Lauffenburger-Kennedy bacterial infection model for tissue inflammation dynamics

DOI10.1080/17513758.2018.1538463zbMath1447.92497OpenAlexW2899149818WikidataQ58076304 ScholiaQ58076304MaRDI QIDQ3300969

Yu Yang, Yu-Xin Zhang, Alhaji Cherif

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2018.1538463

zbMATH Keywords

numerical resultsHopf bifurcationssteady statesLauffenburger-Kennedy bacterial infection model

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients
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• Modeling endotoxin-induced systemic inflammation using an indirect response approach
• Transient behavior of a chemotaxis system modelling certain types of tissue inflammation
• Analysis of a lumped model for tissue inflammation dynamics
• Development and applications of a model for cellular response to multiple chemotactic cues
• Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
• Qualitative analysis of a mathematical model for tissue inflammation dynamics
• PARAMETER DOMAINS FOR GENERATING SPATIAL PATTERN: A COMPARISON OF REACTION–DIFFUSION AND CELL-CHEMOTAXIS MODELS
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