PATTERN FORMATION IN CHEMOTAXIC REACTION-DIFFUSION SYSTEMS

DOI10.1142/S1793524512600133zbMath1280.92011MaRDI QIDQ5397028

Keitaro Saitoh, Hiroto Shoji

Publication date: 5 February 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

stability analysischemotaxisKeller-Segel model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

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• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• A user's guide to PDE models for chemotaxis
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Cattaneo models for chemosensitive movement
• Classical solutions and pattern formation for a volume filling chemotaxis model
• The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
• Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
• Global existence for a parabolic chemotaxis model with prevention of overcrowding

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