Wavespeed in reaction-diffusion systems, with applications to chemotaxis and population pres\-sure

DOI10.1007/s00285-009-0305-4zbMath1204.92012OpenAlexW2151259670WikidataQ51778114 ScholiaQ51778114MaRDI QIDQ604523

Georg A. Gottwald, Sanjeeva Balasuriya

Publication date: 11 November 2010

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-009-0305-4

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (4)

Influences of Allee effects in the spreading of malignant tumours ⋮ Density-dependent dispersal and population aggregation patterns ⋮ Invasions with density-dependent ecological parameters ⋮ The effect of perturbed advection on a class of solutions of a non-linear reaction-diffusion equation

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initiation of slime mold aggregation viewed as an instability
• Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Traveling wave solutions of a nonlinear reaction-advection equation
• Existence and uniqueness of a sharp travelling wave in degenerate non- linear diffusion Fisher-KPP equations
• Travelling waves in nonlinear diffusion-convection reaction
• Allee dynamics and the spread of invading organisms
• Mathematical model for rhythmic protoplasmic movement in the true slime mold
• A bistable reaction-diffusion system in a stretching flow
• Front propagation in bistable reaction-diffusion-advection equation
• Persistence of zero velocity fronts in reaction diffusion systems
• On the Fisher–KPP equation with fast nonlinear diffusion
• High Lewis Number Combustion Wavefronts: A Perturbative Melnikov Analysis
• Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics
• Averaging and Chaotic Motions in Forced Oscillations
• Travelling Wavefronts in Reaction-Diffusion Equations with Convection Effects and Non-Regular Terms
• Hydrodynamics of bacterial colonies

This page was built for publication: Wavespeed in reaction-diffusion systems, with applications to chemotaxis and population pres\-sure