Propagating interface in a monostable reaction-diffusion equation with time delay
Analysis of PDEs
2012-09-26 v1
Abstract
We consider a monostable time-delayed reaction-diffusion equation arising from population dynamics models. We let a small parameter tend to zero and investigate the behavior of the solutions. We construct accurate lower barriers --- by using a non standard bistable approximation of the monostable problem--- and upper barriers. As a consequence, we prove the convergence to a propagating interface.
Cite
@article{arxiv.1209.5668,
title = {Propagating interface in a monostable reaction-diffusion equation with time delay},
author = {Matthieu Alfaro and Arnaud Ducrot},
journal= {arXiv preprint arXiv:1209.5668},
year = {2012}
}