Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

András Szabó-Solticzky, Luc Berthouze, Istvan Z. Kiss, Péter L. Simon

Research output: Contribution to journalArticle

16 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1153-1176
Number of pages24
JournalJournal of Mathematical Biology
Volume72
Issue number5
DOIs
Publication statusPublished - Apr 1 2016

    Fingerprint

Keywords

  • Dynamic network
  • Oscillation
  • Pairwise model
  • SIS epidemic

ASJC Scopus subject areas

  • Modelling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

Cite this