Condensation Of Sir Models On Graphs

Félicien Bourdin (1, 2)

1 DMA - Département de Mathématiques et Applications - ENS Paris
2 LMO - Laboratoire de Mathématiques d'Orsay

We develop deterministic SIR models on graphs where we have condensed different nodes of the network into communities of people. We analyze this condensation process within the framework of resistive networks and that of epidemiological models by comparing the condensed model to the underlying microscopic model. We identify qualitative properties that should satisfy the network for the difference between the predictions of those models to be small.

Domaines: Modélisation et simulation

Félicien Bourdin. Condensation Of Sir Models On Graphs. 2022. ⟨hal-03604701⟩