BioND — Dynamics of Biological Networks

Robust oscillations in SIS epidemics on adaptive networks: Coarse graining by automated moment closure

Thilo Gross and Ioannis G. Kevrekidis
Europhysics Letters 82(3), 38004-6, 2008.
arXiv:nlin/0702047

Abstract

Epidemic Timeseries

We investigate the dynamics of an epidemiological susceptible-infected-susceptible (SIS) model on an adaptive network. This model combines epidemic spreading (dynamics on the network) with rewiring of network connections (topological evolution of the network). We propose and implement a computational approach that enables us to study the dynamics of the network directly on an emergent, coarse-grained level. The approach sidesteps the derivation of closed low-dimensional approximations. Our investigations reveal that global coupling, which enters through the awareness of the population to the disease, can result in robust large-amplitude oscillations of the state and topology of the network.

Media Coverage

Jan Lublinski, German Public Radio (Deutschlandfunk), 2009-07-06
Wie auch bei der Schweinegrippe, ist der Krankheitsverlauf des Dengue-Fiebers meist relativ harmlos. Dennoch stecken sich ganze Städte schnell mit dem Fieber an. Wie die Ausbreitung abläuft, untersuchen derzeit Wissenschaftler in Dresden - mit Hilfe von Mathematik
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