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A study on the positive nonconstant steady states of nonlocal chemotaxis systems

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Publication:380053
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DOI10.3934/dcdsb.2013.18.2457zbMath1301.92007OpenAlexW2321659089MaRDI QIDQ380053

Tian Xiang

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.2457

zbMATH Keywords

bifurcationchemotaxistransition layersteady statesspikenonlocal gradient


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)


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Spiky steady states of a chemotaxis system with singular sensitivity, Global solvability and explicit bounds for non-local adhesion models, On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model, On a class of Keller-Segel chemotaxis systems with cross-diffusion



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