Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media

2017/07/03 by Panagiotis E. Souganidis, Souganidis, Panagiotis E., Andrei Tarfulea +1
Mathematics · Medicine · #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #math.AP

paper · pdf · doi:10.48550/arxiv.1707.00419

27 pages

arxiv created 2017/07/03 · openalex publication_date 2017/07/03 · arxiv updated 2017/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study front propagation phenomena for a large class of nonlocal KPP-type reaction-diffusion equations in oscillatory environments, which model various forms of population growth with periodic dependence. The nonlocal diffusion is an anisotropic integro-differential operator of order α∈ (0,2).

Citations

• Multidimensional nonlinear diffusion arising in population genetics

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