Travelling waves in hyperbolic chemotaxis equations
type: Item
instance of: scholarly article
title: Travelling waves in hyperbolic chemotaxis equations
zbMATH Open document ID: 1220.92010
author: Chuan Xue
author: Kevin J. Painter
author: Radek Erban
author: Hyung Ju Hwang
published in: Bulletin of Mathematical Biology
publication date: 2011-08-25T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 5942393
zbMATH Keywords: velocity jump process
describes a project that uses: ROWMAP
MaRDI profile type: Publication
OpenAlex ID: W2146076877
cites work: Q5558293
cites work: The non-local Fisher–KPP equation: travelling waves and steady states
cites work: Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables
cites work: Global existence results for complex hyperbolic models of bacterial chemotaxis
cites work: From Individual to Collective Behavior in Bacterial Chemotaxis
cites work: From Signal Transduction to Spatial Pattern Formation inE. coli: A Paradigm for Multiscale Modeling in Biology
cites work: Taxis equations for amoeboid cells
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: A constructive approach to traveling waves in chemotaxis
cites work: Drift-diffusion limits of kinetic models for chemotaxis: a generalization
cites work: Global Solutions of Nonlinear Transport Equations for Chemosensitive Movement
cites work: Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit
cites work: Traveling bands of chemotactic bacteria: a theoretical analysis
cites work: Chemotactic Cellular Migration: Smooth and Discontinuous Travelling Wave Solutions
cites work: NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
cites work: Traveling wave solutions from microscopic to macroscopic chemotaxis models
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Modelling cell migration strategies in the extracellular matrix
cites work: ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs
cites work: Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
Wikidata QID: Q38442510
DOI: 10.1007/S11538-010-9586-4
Recommended article: Travelling waves in hybrid chemotaxis models
Recommended article: Generalized travelling wave solutions for hyperbolic chemotaxis PDEs
Recommended article: Some traveling wave solutions of a hyperbolic model for chemotaxis in 1-D
Recommended article: Traveling wave solutions from microscopic to macroscopic chemotaxis models
Recommended article: Q4927574
Recommended article: Traveling waves in a chemotactic model
Recommended article: Wave features of a hyperbolic reaction-diffusion model for chemotaxis
Recommended article: Q4012611
Recommended article: Traveling Wavefronts in a Volume-Filling Chemotaxis Model
Recommended article: Oscillatory traveling wave solutions to an attractive chemotaxis system
description: scientific article; zbMATH DE number 5942393