On traveling wave fronts in a bacterial growth model with density-dependent diffusion and chemotaxis

DOI10.1007/s10955-011-0159-1zbMath1214.92008OpenAlexW2047017892MaRDI QIDQ537888

Mahmoud Bakheet A. Mansour

Publication date: 23 May 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0159-1

zbMATH Keywords

traveling wave frontsdensity-dependent diffusionchemotactic movementrandom motion

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

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• Interface Dynamics for Bacterial Colony Formation
• The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves
• On the transition from initial data to travelling waves in the fisher-kpp equation
• Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation