Autocorrelation of the susceptible-infected-susceptible process on networks.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 30011514.
- Also identified by DOI 10.1103/PhysRevE.97.062309 and PMC identifier 7217534.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
In this paper, we focus on the autocorrelation of the susceptible-infected-susceptible (SIS) process on networks. The N-intertwined mean-field approximation (NIMFA) is applied to calculate the autocorrelation properties of the exact SIS process. We derive the autocorrelation of the infection state of each node and the fraction of infected nodes both in the steady and transient states as functions of the infection probabilities of nodes. Moreover, we show that the autocorrelation can be used to estimate the infection and curing rates of the SIS process. The theoretical results are compared with the simulation of the exact SIS process. Our work fully utilizes the potential of the mean-field method and shows that NIMFA can indeed capture the autocorrelation properties of the exact SIS process.