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DY: Fachverband Dynamik und Statistische Physik

DY 20: Focus Session: Complex Contagion Phenmomena (joint session SOE/ DY/ BP)

DY 20.10: Vortrag

Dienstag, 17. März 2015, 13:00–13:15, MA 001

Spread of Infections on Temporal Networks — •Andreas Koher, Lucian Willareth, Hartmut Lenz, and Igor M. Sokolov — Humboldt University, Berlin

Social interactions can be naturally abstracted to temporal networks, where bonds appear as long as the corresponding contacts exist. In epidemiological studies the temporal dimension is usually projected out however, in order to apply the standard tools from (static) network analyses even though, a systematic error will be introduced thereby. We present an intuitive algebraic formalism by contrast, which is explicitly based on temporal networks and which allows to calculate potential paths of an infection. By applying the idea to a SIR (susceptible-infected-recovered) type of disease, we will present an elegant way to find all possibly affected nodes of an outbreak. The method can be efficiently implemented and will be demonstrated on a recorded data set.