Volume 82, Number 3, May 2008
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||24 April 2008|
Robust oscillations in SIS epidemics on adaptive networks: Coarse graining by automated moment closure
Department of Chemical Engineering, Princeton University - Princeton, NJ 08544, USA
2 Max-Planck Institute für Physik komplexer Systeme - Nöthnitzer Straße 38, 01187 Dresden, Germany, EU
3 Department of Chemical Engineering and PACM, Princeton University - Princeton, NJ 08544, USA
Accepted: 19 March 2008
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.
PACS: 89.75.Hc – Networks and genealogical trees / 87.19.X- – Diseases / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2008
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