Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, November 05, 2020, 12:15 pm

Duration: 30 minutes

Location: Zoom: conference room

Speaker: Ulysse Schaller

Shape of Epidemic Curves in Geometric Inhomogeneous Random Graphs

We study the speed of disease spreading in Geometric Inhomogeneous Random Graphs (GIRGs), a random graph model that shares a lot of properties with real-world social networks. In this model, the transmission time between two neighbor vertices increases with their degree, which accounts for the empirically observed fact that people that have a lot of connections "activate" a given connection less often. We identify two growth regimes, corresponding to polynmoial and quasi-exponetial epidemic curves, that are added to the previously known explosive regime in which nodes are infected in constant time, regardless of their distance to the source of the disease (i.e. the first infected node). This shows that we can observe a variety of spreading speeds when geometry is integrated in the model.

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