About: Explicit non-Markovian susceptible-infected-susceptible mean-field epidemic threshold for Weibull and Gamma infections but Poisson curings

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About: Explicit non-Markovian susceptible-infected-susceptible mean-field epidemic threshold for Weibull and Gamma infections but Poisson curings Goto Sponge NotDistinct Permalink

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	Explicit non-Markovian susceptible-infected-susceptible mean-field epidemic threshold for Weibull and Gamma infections but Poisson curings
Creator	Liu, Qiang Mieghem, P
topic	covid:fa2e2b8922dc8b6343776efca4c1baf2b86cb7dc#this
Source	Medline; PMC
abstract	Although non-Markovian processes are considerably more complicated to analyze, real-world epidemics are likely non-Markovian, because the infection time is not always exponentially distributed. Here, we present analytic expressions of the epidemic threshold in a Weibull and a Gamma SIS epidemic on any network, where the infection time is Weibull, respectively, Gamma, but the recovery time is exponential. The theory is compared with precise simulations. The mean-field non-Markovian epidemic thresholds, both for a Weibull and Gamma infection time, are physically similar and interpreted via the occurrence time of an infection during a healthy period of each node in the graph. Our theory couples the type of a viral item, specified by a shape parameter of the Weibull or Gamma distribution, to its corresponding network-wide endemic spreading power, which is specified by the mean-field non-Markovian epidemic threshold in any network.
has issue date	2019-08-26(xsd:dateTime)
bibo:doi	10.1103/physreve.100.022317
bibo:pmid	31574702
has license	no-cc
sha1sum (hex)	fa2e2b8922dc8b6343776efca4c1baf2b86cb7dc
schema:url	https://doi.org/10.1103/physreve.100.022317
resource representing a document's title	Explicit non-Markovian susceptible-infected-susceptible mean-field epidemic threshold for Weibull and Gamma infections but Poisson curings
has PubMed Central identifier	PMC7219265
has PubMed identifier	31574702
schema:publication	Physical review. E
resource representing a document's body	covid:fa2e2b8922dc8b6343776efca4c1baf2b86cb7dc#body_text
is http://vocab.deri.ie/void#inDataset of	https://covidontheweb.inria.fr:4443/about/id/http/ns.inria.fr/covid19/fa2e2b8922dc8b6343776efca4c1baf2b86cb7dc
is schema:about of	named entity 'time' named entity 'Explicit' named entity 'PRECISE' named entity 'TYPE' named entity 'Weibull' named entity 'Gamma' named entity 'exponentially distributed' named entity 'Our' named entity 'non-Markovian' named entity 'Weibull' named entity 'infection' named entity 'time' named entity 'network' named entity 'infections' named entity 'Weibull' named entity 'non-Markovian' named entity 'graph' named entity 'mean-field' named entity 'Weibull' named entity 'epidemic' named entity 'shape parameter' named entity 'epidemics' named entity 'Weibull' named entity 'infection' named entity 'non-Markovian' named entity 'Markovian processes' named entity 'Poisson' named entity 'epidemic' named entity 'Weibull' named entity 'non-Markovian' named entity 'physically' named entity 'infection' named entity 'epidemic' named entity 'Taylor series' named entity 'probability density function' named entity 'Weibull' named entity 'probability' named entity 'lognormal distribution' named entity 'infection' named entity 'infection' named entity 'graph' named entity 'Akaike information criterion' named entity 'generation time' named entity 'Gamma distribution' named entity 'Lagrange' named entity 'renewal process' named entity 'epidemic' named entity 'Gamma distribution' named entity 'mean-field theory' named entity 'Weibull' named entity 'Weibull' named entity 'infection' named entity 'Weibull' named entity 'Weibull' named entity 'A20' named entity 'probability generating function' named entity 'continuous random variable' named entity 'geometric series' named entity 'infection' named entity 'A21' named entity 'lognormal' named entity 'non-Markovian' named entity 'infection' named entity 'A11' named entity 'infection' named entity 'pdf' named entity 'inverse function' named entity 'complex number' named entity 'exponential distribution' named entity 'epidemic' named entity 'epidemiology' named entity 'lattices' named entity 'contact graph' named entity 'epidemic' named entity 'metastable state' named entity 'Markovian' named entity 'epidemic' named entity 'non-Markovian'

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