On the stabilizing effect of chemotaxis on bacterial aggregation patterns

DOI10.21042/AMNS.2017.1.00013zbMath1381.92009OpenAlexW2615920757MaRDI QIDQ4597690

J. Alejandro Butanda, Ramón G. Plaza, Carlos Málaga

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2017.1.00013

zbMATH Keywords

chemotaxisdegenerate diffusionspectral stabilitypropagating fronts

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

An upwind finite volume method for convection-diffusion equations on rectangular mesh ⋮ Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process ⋮ Spectral stability of monotone traveling fronts for reaction diffusion-degenerate Nagumo equations

Cites Work

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• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Travelling front solutions arising in the chemotaxis-growth model
• Existence and uniqueness of a sharp travelling wave in degenerate non- linear diffusion Fisher-KPP equations
• Travelling wave phenomena in nonlinear diffusion degenerate Nagumo equations
• Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations.
• The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
• Uniform modeling of bacterial colony patterns with varying nutrient and substrate
• Asymptotic and Bifurcation Analysis of Wave-Pinning in a Reaction-Diffusion Model for Cell Polarization

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