Persistence and propagation in periodic reaction-diffusion models

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Published: Sep 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1656
Keywords:
Reaction-Diffusion Equations Persistence Propagation Pulsating Fronts

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Francois Hamel
Aix-Marseille University
Lionel Roques
INRA

Abstract

In this paper, we consider Fisher-KPP reaction-diffusion models in periodic environments. We review some results on the questions of species persistence and propagation of pulsating traveling waves. We study the role of the heterogeneities and the fragmentation of the environment on the persistence and on the propagation speeds.

Article Details

How to Cite
Hamel, F., & Roques, L. (2014). Persistence and propagation in periodic reaction-diffusion models. Tamkang Journal of Mathematics, 45(3), 217–228. https://doi.org/10.5556/j.tkjm.45.2014.1656
Issue
Vol. 45 No. 3 (2014)
Section
Survey Articles
Author Biographies

Francois Hamel, Aix-Marseille University

Aix Marseille Université, CNRS, Centrale Marseille. Institut de Mathématiques de Marseille, UMR 7373, 13453 Marseille, France. & InstitutUniversitaire de France.

Lionel Roques, INRA

INRA, UR546 Biostatistique et Processus Spatiaux, 84914 Avignon, France.

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