A return-to-home model with commuting people and workers

Pierre Magal

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arXiv · 2309.17030

A return-to-home model with commuting people and workers

Pierre Magal

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Abstract

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.

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Pierre Magal. 2023-09-29. A return-to-home model with commuting people and workers. https://arxiv.org/abs/2309.17030

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