Homogenization and influence of fragmentation in a biological invasion model
Analysis of PDEs
2014-05-21 v1
Abstract
In this paper, some properties of the minimal speeds of pulsating Fisher-KPP fronts in periodic environments are established. The limit of the speeds at the homogenization limit is proved rigorously. Near this limit, generically, the fronts move faster when the spatial period is enlarged, but the speeds vary only at the second order. The dependence of the speeds on habitat fragmentation is also analyzed in the case of the patch model.
Keywords
Cite
@article{arxiv.0907.4951,
title = {Homogenization and influence of fragmentation in a biological invasion model},
author = {Mohammad El Smaily and Francois Hamel and Lionel Roques},
journal= {arXiv preprint arXiv:0907.4951},
year = {2014}
}
Comments
Dedicated to Professor Masayasu Mimura for his 65th birthday