Wavefronts in time-delayed reaction – diffusion systems . Theory and comparison to experiment

@inproceedings{Fort2002WavefrontsIT,
title={Wavefronts in time-delayed reaction – diffusion systems . Theory and comparison to experiment},
author={Joaquim Fort and Vicenç M{\'e}ndez},
year={2002}
}

We review the recent theoretical progress in the formulation and solution of the front speed problem for time-delayed reaction–diffusion systems. Most of the review is focused on hyperbolic equations. They have been widely used in recent years, because they allow for analytical solutions and yield a realistic description of some relevant phenomena. The theoretical methods are applied to a range of applications, including population dynamics, forest fire models, bistable systems and combustion… CONTINUE READING