Traveling fronts for the generalized Fisher-KPP equation with nonlocal\n diffusion

2021/04/26 by José Fuentealba, Alexander Quaas, Fuentealba, José +1
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2104.12830

openalex publication_date 2021/04/26 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to study the generalized Fisher-KPP equation with\nnonlocal diffusion. In specific we prove the existence of a critical speed so\nthat traveling front type solutions exist up to this critical speed and\nnon-existence of traveling fronts below this critical value. Moreover, we\nobtain uniqueness, up to translation, and decay estimates of these traveling\nfronts.\n

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