Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion

2014/03/02 by Tau Shean Lim, Lim, Tau Shean, Andrej Zlatoš +2 · 1 citation
Computer Science · Mathematics · Medicine · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #math.AP

paper · pdf · doi:10.48550/arxiv.1403.0166

17 pages, 2 pdf figures

openalex publication_date 2014/03/02 · arxiv created 2014/10/28 · arxiv updated 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove existence of and construct transition fronts for a class of reaction- diffusion equations with spatially inhomogeneous Fisher-KPP type reactions and non-local diffusion. Our approach is based on finding these solutions as perturbations of appropriate solutions to the linearization of the PDE at zero. Our work extends a method introduced by one of us to study such questions in the case of classical diffusion.

Cited by

• Asymptotic Behavior of a Nonlocal KPP Equation with a Stationary Ergodic Nonlinearity

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