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

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.

17 pages, 2 pdf figures

References in corpus (1)

• Harnack type inequality for positive solution of some integral equation

Cited by in corpus (1)

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