Threshold and quasi-stationary distribution for the SIS model on networks
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910186425286656 |
|---|---|
| author | Cantwell, George Moore, Cristopher |
| author_facet | Cantwell, George Moore, Cristopher |
| contents | We study the Susceptible-Infectious-Susceptible (SIS) model on arbitrary networks. The well-established pair approximation treats neighboring pairs of nodes exactly while making a mean field approximation for the rest of the network. We improve the method by expanding the state space dynamically, giving nodes a memory of when they last became susceptible. The resulting approximation is simple to implement and appears to be highly accurate, both in locating the epidemic threshold and in computing the quasi-stationary fraction of infected individuals above the threshold, for both finite graphs and infinite random graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Threshold and quasi-stationary distribution for the SIS model on networks Cantwell, George Moore, Cristopher Social and Information Networks Statistical Mechanics Physics and Society We study the Susceptible-Infectious-Susceptible (SIS) model on arbitrary networks. The well-established pair approximation treats neighboring pairs of nodes exactly while making a mean field approximation for the rest of the network. We improve the method by expanding the state space dynamically, giving nodes a memory of when they last became susceptible. The resulting approximation is simple to implement and appears to be highly accurate, both in locating the epidemic threshold and in computing the quasi-stationary fraction of infected individuals above the threshold, for both finite graphs and infinite random graphs. |
| title | Threshold and quasi-stationary distribution for the SIS model on networks |
| topic | Social and Information Networks Statistical Mechanics Physics and Society |
| url | https://arxiv.org/abs/2509.11706 |