About: Spectral properties and the accuracy of mean-field approaches for epidemics on correlated power-law networks

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Spectral properties and the accuracy of mean-field approaches for epidemics on correlated power-law networks
Creator	Cota, Wesley Castellano, Claudio Ferreira, Silvio Pastor-Satorras, Romualdo Silva, Diogo
Source	PMC
abstract	We present a comparison between stochastic simulations and mean-field theories for the epidemic threshold of the susceptible-infected-susceptible model on correlated networks (both assortative and disassortative) with a power-law degree distribution [Formula: see text]. We confirm the vanishing of the threshold regardless of the correlation pattern and the degree exponent [Formula: see text]. Thresholds determined numerically are compared with quenched mean-field (QMF) and pair quenched mean-field (PQMF) theories. Correlations do not change the overall picture: The QMF and PQMF theories provide estimates that are asymptotically correct for large sizes for [Formula: see text] , while they only capture the vanishing of the threshold for [Formula: see text] , failing to reproduce quantitatively how this occurs. For a given size, PQMF theory is more accurate. We relate the variations in the accuracy of QMF and PQMF predictions with changes in the spectral properties (spectral gap and localization) of standard and modified adjacency matrices, which rule the epidemic prevalence near the transition point, depending on the theoretical framework. We also show that, for [Formula: see text] , while QMF theory provides an estimate of the epidemic threshold that is asymptotically exact, it fails to reproduce the singularity of the prevalence around the transition.
has issue date	2019-10-15(xsd:dateTime)
bibo:doi	10.1103/physrevresearch.1.033024
has license	cc-by
sha1sum (hex)	600af2ac970b893503d0f0a973c555059de08ddc
schema:url	https://doi.org/10.1103/physrevresearch.1.033024
resource representing a document's title	Spectral properties and the accuracy of mean-field approaches for epidemics on correlated power-law networks
has PubMed Central identifier	PMC7217554
resource representing a document's body	covid:600af2ac970b893503d0f0a973c555059de08ddc#body_text
is schema:about of	named entity 'CORRELATION' named entity 'SUSCEPTIBLE-INFECTED-SUSCEPTIBLE MODEL' named entity 'FAILING' named entity 'EXACT' named entity 'THRESHOLD' named entity '5/2' named entity 'epidemic' named entity 'spectral gap' named entity 'epidemic' named entity 'mean-field' named entity 'Spectral properties' named entity 'epidemics' named entity 'spectral gap' named entity 'vertices' named entity 'conditional probability' named entity 'power-law' named entity 'epidemic' named entity 'complex networks' named entity 'real networks' named entity 'adjacency matrix' named entity 'spectral gap' named entity 'topological properties' named entity 'Statistical analyses' named entity 'power law' named entity '5/2' named entity 'vertices' named entity 'spectral gap' named entity 'spectral gap' named entity 'WPCM' named entity '5/2' named entity '5/2' named entity 'WPCM' named entity 'eigenvalue' named entity 'K-core' named entity 'K-core' named entity 'configuration model' named entity 'connectivity matrix' named entity 'heavy-tailed' named entity 'vertex' named entity 'WPCM' named entity 'stochastic' named entity 'scale-free networks' named entity 'Pearson coefficient' named entity 'adjacency matrix' named entity 'spectral gap' named entity 'vertices' named entity 'epidemic' named entity 'thermodynamic limit' named entity 'steady state' named entity 'mean-field' named entity 'critical exponent' named entity '3.5' named entity 'algorithm' named entity 'eigenvalues' named entity 'heavy-tailed' named entity 'absorbing state' named entity 'vertices' named entity 'degree distribution' named entity 'vertex' named entity 'epidemic' named entity 'spectral properties' named entity 'epidemic' named entity 'WPCM' named entity 'vertices' named entity 'adjacency matrices' named entity '3.5' named entity 'evolution' named entity 'vertex' named entity 'epidemic' named entity 'epidemic' named entity 'vertex' named entity 'Runge-Kutta method' named entity 'accelerate the convergence' named entity 'heavy-tailed' named entity 'topology' named entity 'conditional probability' named entity 'symmetrizing' named entity 'prefactor' named entity 'thermodynamic limit' named entity 'eigenvalue'

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