Chapter 3 : Macro Models, Micro Models and Network Based coupling
Résumé
In this chapter, we will discuss coupling models with different scales to describe the propagation of a virus within a population. This population is distributed throughout a set of cities connected by airline routes. Population movements between cities enable the virus to travel, carried by infected individuals. In each city, the description of virus propagation is based on an SIR-type model (presented in more detail). The first model, called EpiSim, is presented, first in its aggregate variant, and then in its individual-based variant. Comparing these two approaches will allow us to discuss the advantages and limitations of each of them. In the second section, we will present two approaches for coupling models based on networks. The first approach considers a network of coupled systems of equations. The second combines an agent-based model of microscale components with a model of macroscale components based on systems of equations. This coupled model, called MicMac, is presented in more detail. The added value of micro/macro coupling is examined in the article.
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