Bifurcations in synergistic epidemics on random regular graphs
Accepted version
Peer-reviewed
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Repository DOI
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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
1751-8121
Volume Title
52
Publisher
IOP
Publisher DOI
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All rights reserved
Sponsorship
FJPR acknowledges financial support from the Carnegie Trust.