Return-to-home model for short-range human travel

Arnaud Ducrot; Pierre Magal

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arXiv · 2201.05774

Return-to-home model for short-range human travel

Arnaud Ducrot·Pierre Magal

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Abstract

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.

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Arnaud Ducrot, Pierre Magal. 2022-01-15. Return-to-home model for short-range human travel. https://arxiv.org/abs/2201.05774

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