Bifurcations in synergistic epidemics on random regular graphs

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

*Corresponding author for this work

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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
Issue number19
Early online date28 Mar 2019
Publication statusPublished - 2019

Bibliographical note

Acknowledgements: FJPR acknowledges financial support from the Carnegie Trust.


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


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