Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion
Analysis of PDEs
2014-10-29 v3
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.
Keywords
Cite
@article{arxiv.1403.0166,
title = {Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion},
author = {Tau Shean Lim and Andrej Zlatos},
journal= {arXiv preprint arXiv:1403.0166},
year = {2014}
}
Comments
17 pages, 2 pdf figures