10_1007_s00285-015-0902-3.pdf (1.15 MB)
Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis
journal contribution
posted on 2023-06-08, 22:13 authored by András Szabó-Solticzky, Luc BerthouzeLuc Berthouze, Istvan Kiss, Péter L SimonAn 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.
History
Publication status
- Published
File Version
- Accepted version
Journal
Journal of Mathematical BiologyISSN
0303-6812Publisher
Springer VerlagExternal DOI
Issue
5Volume
72Page range
1153-1176Department affiliated with
- Engineering and Design Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2015-08-27First Open Access (FOA) Date
2015-10-16First Compliant Deposit (FCD) Date
2015-08-26Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC