Issue
EPL
Volume 82, Number 3, May 2008
Article Number 38004
Number of page(s) 6
Section Interdisciplinary Physics and Related Areas of Science and Technology
DOI http://dx.doi.org/10.1209/0295-5075/82/38004
Published online 24 April 2008
EPL, 82 (2008) 38004
DOI: 10.1209/0295-5075/82/38004

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

T. Gross1, 2 and I. G. Kevrekidis3

1  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

thilo.gross@physics.org
yannis@princeton.edu

received 4 January 2008; accepted in final form 19 March 2008; published May 2008
published online 24 April 2008

Abstract
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