File(s) under permanent embargo
Mapping out emerging network structures in dynamic network models coupled with epidemics
chapter
posted on 2023-06-09, 05:34 authored by Istvan Kiss, Luc BerthouzeLuc Berthouze, Joel C Miller, Péter L SimonWe consider the susceptible - infected - susceptible (SIS) epidemic on a dynamic network model with addition and deletion of links depending on node status. We analyse the resulting pairwise model using classical bifurcation theory to map out the spectrum of all possible epidemic behaviours. However, the major focus of the chapter is on the evolution and possible equilibria of the resulting networks. Whereas most studies are driven by determining system-level outcomes, e.g., whether the epidemic dies out or becomes endemic, with little regard for the emerging network structure, here, we want to buck this trend by augmenting the system-level results with mapping out of the structure and properties of the resulting networks. We find that depending on parameter values the network can become disconnected and show bistable-like behaviour whereas the endemic steady state sees the emergence of networks with qualitatively different degree distributions. In particular, we observe de-phased oscillations of both prevalence and network degree during which there is role reversal between the level and nature of the connectivity of susceptible and infected nodes. We conclude with an attempt at describing what a potential bifurcation theory for networks would look like.
History
Publication status
- Published
File Version
- Accepted version
Publisher
SpringerExternal DOI
Page range
267-289Pages
342.0Book title
Temporal network epidemiologyISBN
9789811052866Series
Theoretical BiologyDepartment affiliated with
- Informatics Publications
Full text available
- No
Peer reviewed?
- Yes
Editors
Petter Holme, Naoki MasudaLegacy Posted Date
2017-03-28First Compliant Deposit (FCD) Date
2017-03-28Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC