Bifurcations in synergistic epidemics on random regular graphs
Physics and Society
2019-04-03 v2 Statistical Mechanics
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.
Cite
@article{arxiv.1809.05575,
title = {Bifurcations in synergistic epidemics on random regular graphs},
author = {Sergei N. Taraskin and Francisco J. Pérez-Reche},
journal= {arXiv preprint arXiv:1809.05575},
year = {2019}
}