Existence and metastability of non-constant steady states in a Keller-Segel model with density-suppressed motility

DOI10.5206/mase/8120zbMath1498.92037OpenAlexW2977911991MaRDI QIDQ5040134

Peng Xia, Manjun Ma, Jicheng Tao, Ya Zhou Han

Publication date: 11 October 2022

Published in: Mathematics in Applied Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5206/mase/8120

zbMATH Keywords

metastabilityKeller-Segel modeldensity-suppressed motilitynonconstant steady states

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility ⋮ Stability and metastability in a chemotaxis model ⋮ The Keller-Segel system with logistic growth and signal-dependent motility

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