Spatial pattern formation in the Keller-Segel model with a logistic source

DOI10.1016/j.camwa.2013.05.017zbMath1344.92032OpenAlexW2077994413MaRDI QIDQ305541

Shengmao Fu, Ji Liu

Publication date: 30 August 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.05.017

zbMATH Keywords

nonlinear dynamicspattern formationKeller-Segel modellogistic source

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Global stability of solutions to ordinary differential equations (34D23) Cell movement (chemotaxis, etc.) (92C17)

Related Items (7)

Pattern formation for a nonlinear diffusion chemotaxis model with logistic source ⋮ A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model ⋮ Stability Analysis of the Immune System Induced by Chemotaxis ⋮ Stability and instability in a three-component chemotaxis model for alopecia areata ⋮ Nonlinear instability for a volume-filling chemotaxis model with logistic growth ⋮ Instability in a generalized multi-species Keller-Segel chemotaxis model ⋮ A new analysis method for chemotaxis-induced instability in multispecies host-parasitoid systems

Cites Work

• Spatio-temporal chaos in a chemotaxis model
• Dynamics near an unstable Kirchhoff ellipse
• Spatial pattern formation in a chemotaxis-diffusion-growth model
• Strategy and stationary pattern in a three-species predator--prey model
• Pattern formation. I: The Keller-Segel model
• A Chemotaxis System with Logistic Source
• Unnamed Item
• Unnamed Item

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