In this work, we develop a mathematical model to describe the local movement of individuals by taking into account their return to home after a period of travel. We provide a suitable functional framework to handle this system and study the large-time behavior of the solutions. We extend our model by incorporating a colonization process and applying the return to home process to an epidemic.
@article{arxiv.2201.05774,
title = {Return-to-home model for short-range human travel},
author = {Arnaud Ducrot and Pierre Magal},
journal= {arXiv preprint arXiv:2201.05774},
year = {2022}
}