Pattern formation of a Keller-Segel model with the source term \(u^p(1 - u)\)

DOI10.1155/2013/454513zbMath1486.35253OpenAlexW1581171164WikidataQ59015438 ScholiaQ59015438MaRDI QIDQ2337042

Fenli Cao, Shengmao Fu

Publication date: 19 November 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/454513

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (5)

Stability Analysis of the Immune System Induced by Chemotaxis ⋮ Stability and instability in a three-component chemotaxis model for alopecia areata ⋮ Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model ⋮ Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis ⋮ Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source

Cites Work

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• Spatial pattern formation in a chemotaxis-diffusion-growth model
• Pattern formation. I: The Keller-Segel model
• LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
• A Chemotaxis System with Logistic Source

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