Existence of self-accelerating fronts for a non-local reaction-diffusion equations

2015/12/02 by Nathanaël Berestycki, Clément Mouhot, Berestycki, Nathanaël +3
Computer Science · Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #math.AP

paper · pdf · doi:10.48550/arxiv.1512.00903

added Acknowledgements

openalex publication_date 2015/12/02 · arxiv created 2015/12/07 · arxiv updated 2015/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological invasions have been documented. The analysis is based on the comparison of this model with a related local equation, and on the analysis of the dynamics of the solutions of this second model thanks to probabilistic methods.

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