2018/09/30 by Sergei N. Taraskin, Francisco J. Pérez-Reche · 1 citation
Physics and Astronomy · #physics.soc-ph #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8121/ab1441
published as 2019 J. Phys. A: Math. Theor
arxiv created 2019/04/02 · arxiv updated 2019/04/03
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.