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Bifurcations in synergistic epidemics on random regular graphs

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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.… Click to show full 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.

Keywords: bifurcations synergistic; random regular; regular graphs; epidemics random; synergistic epidemics

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019

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