Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area

التفاصيل البيبلوغرافية
العنوان: Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area
المؤلفون: Gaubert, Stéphane, Akian, Marianne, Allamigeon, Xavier, Boyet, Marin, Colin, Baptiste, Grohens, Théotime, Massoulié, Laurent, Parsons, David P., Adnet, Frédéric, Chanzy, Érick, Goix, Laurent, Lapostolle, Frédéric, Lecarpentier, Éric, Leroy, Christophe, Loeb, Thomas, Marx, Jean-Sébastien, Télion, Caroline, Tréluyer, Laurent, Carli, Pierre
المصدر: Comptes Rendus -- Math\'ematique, Volume 358, issue 7 (2020), p. 843-875
سنة النشر: 2020
المجموعة: Computer Science
Mathematics
Physics (Other)
Quantitative Biology
Statistics
مصطلحات موضوعية: Statistics - Applications, Computer Science - Social and Information Networks, Mathematics - Dynamical Systems, Physics - Physics and Society, Quantitative Biology - Populations and Evolution
الوصف: We portray the evolution of the Covid-19 epidemic during the crisis of March-April 2020 in the Paris area, by analyzing the medical emergency calls received by the EMS of the four central departments of this area (Centre 15 of SAMU 75, 92, 93 and 94). Our study reveals strong dissimilarities between these departments. We show that the logarithm of each epidemic observable can be approximated by a piecewise linear function of time. This allows us to distinguish the different phases of the epidemic, and to identify the delay between sanitary measures and their influence on the load of EMS. This also leads to an algorithm, allowing one to detect epidemic resurgences. We rely on a transport PDE epidemiological model, and we use methods from Perron-Frobenius theory and tropical geometry.
Comment: Changes v1->v2: Section 7 expanded. Changes v2->v3: bibliography expanded; minor improvements and corrections
نوع الوثيقة: Working Paper
DOI: 10.5802/crmath.99
URL الوصول: http://arxiv.org/abs/2005.14186
رقم الأكسشن: edsarx.2005.14186
قاعدة البيانات: arXiv