Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion

DOI10.1016/J.NA.2016.01.023zbMath1338.35239OpenAlexW4298192789WikidataQ56403430 ScholiaQ56403430MaRDI QIDQ272705

Luca Rossi, Jean-Michel Roquejoffre, Henri Berestycki

Publication date: 20 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.01.023

zbMATH Keywords

reaction-diffusion systemsmixed dimensionmodels of biological invasionpropagating fronts

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07)

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Cites Work

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• Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats
• Fisher–KPP propagation in the presence of a line: further effects
• The effect of a line with nonlocal diffusion on Fisher-KPP propagation
• Existence of Travelling Waves for a Reaction–Diffusion System with a Line of Fast Diffusion
• On the method of moving planes and the sliding method

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