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Traveling wave solutions for a bacteria system with density-suppressed motility

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Publication:1755947
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DOI10.3934/dcdsb.2018213zbMath1404.35258OpenAlexW2809604839MaRDI QIDQ1755947

Roger Lui, Hirokazu Ninomiya

Publication date: 11 January 2019

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.2018213


zbMATH Keywords

cell motilitypattern formationstraveling wave equationsnonhomogeneous linear differential equationsdegenerate reaction-diffusion equations


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17)


Related Items (4)

Traveling wave solutions to the density-suppressed motility model ⋮ Global classical solutions for a class of reaction-diffusion system with density-suppressed motility ⋮ Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities ⋮ Logistic damping effect in chemotaxis models with density-suppressed motility



Cites Work

  • Mathematical biology. Vol. 1: An introduction.


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