Pushed and pulled fronts in a logistic Keller-Segel model with chemorepulsion
Analysis of PDEs
2023-08-04 v1 Dynamical Systems
Abstract
We analyze spatial spreading in a population model with logistic growth and chemorepulsion. In a parameter range of short-range chemo-diffusion, we use geometric singular perturbation theory and functional-analytic farfield-core decompositions to identify spreading speeds with marginally stable front profiles. In particular, we identify a sharp boundary between between linearly determined, pulled propagation, and nonlinearly determined, pushed propagation, induced by the chemorepulsion. The results are motivated by recent work on singular limits in this regime using PDE methods.
Keywords
Cite
@article{arxiv.2308.01754,
title = {Pushed and pulled fronts in a logistic Keller-Segel model with chemorepulsion},
author = {Montie Avery and Matt Holzer and Arnd Scheel},
journal= {arXiv preprint arXiv:2308.01754},
year = {2023}
}
Comments
34 pages, 1 figure