MATHEMATICAL ANALYSIS OF A HYBRID MODEL: IMPACTS OF INDIVIDUAL BEHAVIORS ON THE SPREADING OF AN EPIDEMIC
Networks and Heterogeneous Media
; 17(3):333-357, 2022.
Article
in English
| Scopus | ID: covidwho-1875875
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. © 2022, American Institute of Mathematical Sciences. All rights reserved.
agent-based model; epidemics; Hybrid model; multi-scale; networks; Computational methods; Dynamics; Epidemiology; Ordinary differential equations; Simulation platform; Individual behavior; Mathematical analysis; Microscopic dynamics; Multi-scales; Network; Particular solution; Systems of ordinary differential equations; Wellposedness; Autonomous agents
Full text:
Available
Collection:
Databases of international organizations
Database:
Scopus
Type of study:
Experimental Studies
Language:
English
Journal:
Networks and Heterogeneous Media
Year:
2022
Document Type:
Article
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