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

Thilo Gross·Ioannis G. Kevrekidis
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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.

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Thilo Gross, Ioannis G. Kevrekidis. 2008-01-04. Robust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure. https://doi.org/10.1209/0295-5075%2F82%2F38004

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