The stability of the Keller-Segel model

DOI10.1016/S0895-7177(04)90528-6zbMath1068.92006OpenAlexW2007822662MaRDI QIDQ1765030

Francisco J. Solis, O. J. Cardenas, Juan-Carlos Cortés

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(04)90528-6

zbMATH Keywords

StabilityChemotaxisAttractantIntegrable PerturbationsMotility

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Perturbations in context of PDEs (35B20) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Accurate analytic numerical solution of initial value problems for parabolic systems
• Initiation of slime mold aggregation viewed as an instability
• Large amplitude stationary solutions to a chemotaxis system
• Steady states of models of microbial growth and competition with chemotaxis
• Stationary Solutions of Chemotaxis Systems
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
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