We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis.
- Authors
Szabó-Solticzky, András; Berthouze, Luc; Kiss, Istvan; Simon, Péter
- Abstract
An adaptive network model using SIS epidemic propagation with link-type-dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochastic simulation is carried out, showing that three typical behaviours may occur; namely, oscillations can be observed besides disease-free or endemic steady states. The oscillatory behaviour in the stochastic simulations is studied using Fourier analysis, as well as through analysing the exact master equations of the stochastic model. By going beyond simply comparing simulation results to mean-field models, our approach yields deeper insights into the observed phenomena and help better understand and map out the limitations of mean-field models.
- Subjects
EPIDEMIOLOGICAL models; EPIDEMIC research; BIFURCATION theory; OSCILLATIONS; PAIRED comparisons (Mathematics)
- Publication
Journal of Mathematical Biology, 2016, Vol 72, Issue 5, p1153
- ISSN
0303-6812
- Publication type
Article
- DOI
10.1007/s00285-015-0902-3