This article proposes a new model to describe human intra-city mobility. The goal is to combine the convection-diffusion equation to describe commuting people's movement and the density of individuals at home. We propose a new model extending our previous work with a compartment of office workers. To understand such a model, we use semi-group theory and obtain a convergence result of the solutions to an equilibrium distribution. We conclude this article by presenting some numerical simulations of the model.
@article{arxiv.2309.17030,
title = {A return-to-home model with commuting people and workers},
author = {Pierre Magal},
journal= {arXiv preprint arXiv:2309.17030},
year = {2023}
}