Bifurcations in synergistic epidemics on random regular graphs
arXiv:1809.05575 · doi:10.1088/1751-8121/ab1441
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.
References in corpus (6)
- Critical phenomena in complex networks
- Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
- Adaptive networks: coevolution of disease and topology
- Critical behaviors in contagion dynamics
- Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
- Competing contagion processes: Complex contagion triggered by simple contagion