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Bifurcations in synergistic epidemics on random regular graphs

Accepted version
Peer-reviewed

Type

Article

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Authors

Taraskin, SN 
Pérez-Reche, FJ 

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.

Description

Keywords

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

Journal Title

Journal of Physics A: Mathematical and Theoretical

Conference Name

Journal ISSN

1751-8113
1751-8121

Volume Title

52

Publisher

IOP

Rights

All rights reserved
Sponsorship
FJPR acknowledges financial support from the Carnegie Trust.