The SIS process on Erd\"os-R\'enyi graphs: determining the infected fraction
<|reference_start|>The SIS process on Erd\"os-R\'enyi graphs: determining the infected fraction: There are many methods to estimate the quasi-stationary infected fraction of the SIS process on (random) graphs. A challenge is to adequately incorporate correlations, which is especially important in sparse graphs. Methods typically are either significantly biased in sparse graphs, or computationally very demanding already for small network sizes. In this paper we present a new method to determine the infected fraction in sparse graphs, which we test on Erd\H{o}s-R\'enyi graphs. Our method does take into account correlations and gives accurate predictions. At the same time, computations are very feasible and can easily be done even for large networks.<|reference_end|>
@article{awolude2024the,
    title={The SIS process on Erd\"os-R\'enyi graphs: determining the infected
  fraction},
    author={O.S. Awolude, E. Cator, H. Don},
    journal={arXiv preprint arXiv:2403.12560},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.12560},
    primaryClass={cond-mat.stat-mech cs.SI physics.soc-ph}
}