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http://hdl.handle.net/10773/34052
Title: | Mathematical analysis of a hybrid model: impacts of individual behaviors on the spreading of an epidemic |
Author: | Cantin, Guillaume Silva, Cristiana J. Banos, Arnaud |
Keywords: | Hybrid model Networks Agent-based model Multi-scale Epidemics |
Issue Date: | Jun-2022 |
Publisher: | American Institute of Mathematical Sciences |
Abstract: | In this paper, we investigate the well-posedness and dynamics of a class of hybrid models, obtained by coupling a system of ordinary differential equations and an agent-based model. These hybrid models intend to integrate the microscopic dynamics of individual behaviors into the macroscopic evolution of various population dynamics models, and can be applied to a great number of complex problems arising in economics, sociology, geography and epidemiology. Here, in particular, we apply our general framework to the current COVID-19 pandemic. We establish, at a theoretical level, sufficient conditions which lead to particular solutions exhibiting irregular oscillations and interpret those particular solutions as pandemic waves. We perform numerical simulations of a set of relevant scenarios which show how the microscopic processes impact the macroscopic dynamics. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/34052 |
DOI: | 10.3934/nhm.2022010 |
ISSN: | 1556-1801 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[53_2022]CantinSilvaBanos_NHM2022.pdf | 1.9 MB | Adobe PDF |
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