Bifurcations in synergistic epidemics on random regular graphs

2019 J. Phys. A: Math. Theor 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 l...

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Bibliographic Details
Main Authors Taraskin, Sergei N, Pérez-Reche, Francisco J
Format Journal Article
LanguageEnglish
Published 14.09.2018
Subjects
Physics - Physics and Society
Physics - Statistical Mechanics
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Summary:2019 J. Phys. A: Math. Theor 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.
DOI:10.48550/arxiv.1809.05575