A proof of anomalous invasion speeds in a system of coupled Fisher-KPP equations

DOI10.3934/dcds.2016.36.2069zbMath1335.35123OpenAlexW2762499837MaRDI QIDQ887692

Matt Holzer

Publication date: 27 October 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2069

zbMATH Keywords

invasion frontslinear spreading speedanomalous spreadingsub and super-solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Wave front sets in context of PDEs (35A18) Traveling wave solutions (35C07)

Related Items

Invasion into remnant instability: a case study of front dynamics ⋮ The speed of invasion in an advancing population ⋮ Universal selection of pulled fronts ⋮ Longtime Behavior of Solutions of a SIS Epidemiological Model ⋮ Linear and Nonlinear Speed Selection for Mono-Stable Wave Propagations ⋮ Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphs ⋮ Anomalous spreading in reducible multitype branching Brownian motion

Cites Work

• Unnamed Item
• Criteria for pointwise growth and their role in invasion processes
• Coupled reaction-diffusion equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• Stability of fronts for a KPP-system, II: The critical case
• Front propagation into unstable states
• Analysis of linear determinacy for spread in cooperative models
• A short proof of the logarithmic Bramson correction in Fisher-KPP equations
• Anomalous spreading in a system of coupled Fisher-KPP equations
• Anomalous spreading speeds of cooperative recursion systems
• Spreading speeds as slowest wave speeds for cooperative systems
• A slow pushed front in a Lotka–Volterra competition model
• Stacked Fronts for Cooperative Systems with Equal Diffusion Coefficients
• The Accommodation of Traveling Waves of Fisher’s Type to the Dynamics of the Leading Tail
• Stability of fronts and transient behaviour in KPP systems
• Convergence of solutions of the Kolmogorov equation to travelling waves