Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Networks - Statistics and Dynamics (joint session DY/ BP/ SOE)
DY 24.8: Vortrag
Mittwoch, 2. April 2014, 17:00–17:15, ZEU 118
Phase Transitions in Cooperative Coinfections: Simulation Results for Networks and Lattices — •Weiran Cai1, Li Chen2,3, Fakhteh Ghanbarnejad2, and Peter Grassberger4 — 1Faculty of Electrical and Computer Engineering, Technische Universität Dresden, Germany — 2Max Planck Institute for Physics of Complex Systems, Dresden, Germany — 3Robert Koch-Institut P4 - Epidemiologische Modellierung von Infektionskrankheiten, Berlin, Germany — 4JSC, FZ Jülich, D-52425 Jülich, Germany
In this talk, we study the spreading of a cooperative coinfection on different networks topologies. Previous work has shown that in a mean field approximation, the cooperativity of two diseases in the SIR framework can lead to first-order transitions, where the relative size of the infected cluster changes discontinuously with respect to control parameters. However, due to the mean field approximation, such discontinuous transitions could occur only when the initial density of infected sites is finite. Here we show that the same is true on trees, but not on other networks. On Erdős-Renyi(ER) networks, on networks with long range contacts, and lattices with dimension = 3 we find first order transitions initiated even by a single sick site, while no first order transitions are observed on 2-dimensional lattices, if the contacts are short range. The importance of loops for the presence/absence of discontinuous transitions is discussed.