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arXiv · 2202.02017

Flow Redirection for Epidemic Reaction-DIffusion Control

Pierre-Yves Massé·Quentin Laborde·Maria Cherifa·Jules Olayé·Laurent Oudre
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Abstract

We show we can control an epidemic reaction-diffusion on a directed, and heterogeneous, network by redirecting the flows, thanks to the optimisation of well-designed loss functions, in particular the basic reproduction number of the model. We provide a final size relation linking the basic reproduction number to the epidemic final sizes, for diffusions around a reference diffusion with basic reproduction number less than 1. Experimentally, we show control is possible for different topologies, network heterogeneity levels, and speeds of diffusion. Our experimental results highlight the relevance of the basic reproduction number loss, compared to more straightforward losses.

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Pierre-Yves Massé, Quentin Laborde, Maria Cherifa, Jules Olayé, Laurent Oudre. 2022-02-04. Flow Redirection for Epidemic Reaction-DIffusion Control. https://arxiv.org/abs/2202.02017

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