Robust oscillations in SIS epidemics on adaptive networks: Coarse graining by automated moment closureT. 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
received 4 January 2008; accepted in final form 19 March 2008; published May 2008
published online 24 April 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.
89.75.Hc - Networks and genealogical trees.
87.19.X- - Diseases.
89.75.Fb - Structures and organization in complex systems.
© EPLA 2008