Bifurcations in synergistic epidemics on random regular graphs

S N Taraskin, F J Perez-Reche (Corresponding Author)

Research output: Contribution to journalArticle

Abstract

The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs. Non-linear dynamics are shown to lead to bifurcation diagrams for such spreading phenomena exhibiting three distinct regimes: non-active, active and bi-stable. The dependence of bifurcation loci on node degree is studied and interesting effects are found that contrast with the behaviour expected for non-synergistic epidemics.
Original languageEnglish
Article number195101
JournalJournal of Physics. A, Mathematical and theoretical
Volume52
Issue number19
Early online date28 Mar 2019
DOIs
Publication statusPublished - 2019

Fingerprint

Regular Graph
Random Graphs
Bifurcation
Synergy
infectious diseases
Bifurcation Diagram
loci
Nonlinear Dynamics
Infection
Locus
diagrams
Distinct
Vertex of a graph
Model

Keywords

  • non-equilibrium phase transitions
  • mathematical models for epidemics
  • random graphs
  • bifurcations
  • synergy
  • MODELS
  • BEHAVIOR
  • SPREAD

Cite this

Bifurcations in synergistic epidemics on random regular graphs. / Taraskin, S N; Perez-Reche, F J (Corresponding Author).

In: Journal of Physics. A, Mathematical and theoretical, Vol. 52, No. 19, 195101, 2019.

Research output: Contribution to journalArticle

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AB - The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs. Non-linear dynamics are shown to lead to bifurcation diagrams for such spreading phenomena exhibiting three distinct regimes: non-active, active and bi-stable. The dependence of bifurcation loci on node degree is studied and interesting effects are found that contrast with the behaviour expected for non-synergistic epidemics.

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