SIS Epidemic Propagation on Hypergraphs

Ágnes Bodó, Gyula Y. Katona, L. P. Simon

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Mathematical modelling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact master equations of the propagation process are derived for an arbitrary hypergraph given by its incidence matrix. Based on these, moment closure approximation and mean-field models are introduced and compared to individual-based stochastic simulations. The simulation algorithm, developed for networks, is extended to hypergraphs. The effects of hypergraph structure and the model parameters are investigated via individual-based simulation results.

Original languageEnglish
Pages (from-to)713-735
Number of pages23
JournalBulletin of Mathematical Biology
Volume78
Issue number4
DOIs
Publication statusPublished - Apr 1 2016

Fingerprint

Hypergraph
Propagation
Pressure
Incidence
Infection
simulation
community structure
mathematical models
Moment Closure
incidence
Incidence Matrix
Mean-field Model
Community Structure
Stochastic Simulation
Master Equation
infection
Mathematical Modeling
Simulation
matrix
modeling

Keywords

  • Exact master equation
  • Hypergraph
  • Mean-field model
  • SIS epidemic

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Immunology
  • Mathematics(all)
  • Computational Theory and Mathematics
  • Neuroscience(all)
  • Pharmacology

Cite this

SIS Epidemic Propagation on Hypergraphs. / Bodó, Ágnes; Katona, Gyula Y.; Simon, L. P.

In: Bulletin of Mathematical Biology, Vol. 78, No. 4, 01.04.2016, p. 713-735.

Research output: Contribution to journalArticle

Bodó, Ágnes ; Katona, Gyula Y. ; Simon, L. P. / SIS Epidemic Propagation on Hypergraphs. In: Bulletin of Mathematical Biology. 2016 ; Vol. 78, No. 4. pp. 713-735.
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