About: $/mathcal{R}_{0}$ fails to predict the outbreak potential in the presence of natural-boosting immunity

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About: $/mathcal{R}_{0}$ fails to predict the outbreak potential in the presence of natural-boosting immunity 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	$/mathcal{R}_{0}$ fails to predict the outbreak potential in the presence of natural-boosting immunity
Creator	Omori, Ryosuke Nakata, Yukihiko
Source	ArXiv
abstract	Time varying susceptibility of host at individual level due to waning and boosting immunity is known to induce rich long-term behavior of disease transmission dynamics. Meanwhile, the impact of the time varying heterogeneity of host susceptibility on the shot-term behavior of epidemics is not well-studied, even though the large amount of the available epidemiological data are the short-term epidemics. Here we constructed a parsimonious mathematical model describing the short-term transmission dynamics taking into account natural-boosting immunity by reinfection, and obtained the explicit solution for our model. We found that our system show%22the delayed epidemic%22, the epidemic takes off after negative slope of the epidemic curve at the initial phase of epidemic, in addition to the common classification in the standard SIR model, i.e.,%22no epidemic%22as $/mathcal{R}_{0}/leq1$ or normal epidemic as $/mathcal{R}_{0}>1$. Employing the explicit solution we derived the condition for each classification.
has issue date	2018-08-27(xsd:dateTime)
has license	arxiv
sha1sum (hex)	d1f9d4db42c5f405687e10e99b492c357ed993aa
resource representing a document's title	$/mathcal{R}_{0}$ fails to predict the outbreak potential in the presence of natural-boosting immunity
resource representing a document's body	covid:d1f9d4db42c5f405687e10e99b492c357ed993aa#body_text
is schema:about of	named entity 'WANING' named entity 'SOLUTION' named entity 'OUR' named entity 'NORMAL' named entity 'OF DISEASE TRANSMISSION' named entity 'DELAYED' named entity 'initial phase' named entity 'epidemic' named entity 'epidemic' named entity 'parsimonious' named entity 'epidemics' named entity 'heterogeneity' named entity 'time series' named entity 'herd immunity' named entity 'epidemic model' named entity 'asymptomatic' named entity 'forR' named entity 'epidemic' named entity 'probability' named entity 'epidemic curve' named entity 'monotonically increasing' named entity 'partial differential equations' named entity 'infection' named entity 'Tuberculosis' named entity 'Coronavirus' named entity 'rubella' named entity 'epidemic' named entity 'SIR model' named entity 'Respiratory syncytial virus' named entity 'epidemic' named entity 'initial condition' named entity 'initial condition' named entity 'infectious diseases' named entity 'epidemiological' named entity 'epidemic curve' named entity 'epidemic' named entity 'basic reproduction number' named entity 'vaccination' named entity 'disease transmission' named entity 'epidemic curve' named entity 'initial condition' named entity 'epidemic' named entity 'pathogen' named entity 'epidemic' named entity 'host immunity' named entity 'epidemic' named entity '2.1' named entity 'initial phase' named entity 'IfR' named entity 'epidemic' named entity 'epidemic curve' named entity 'host population' named entity 'infectious diseases' named entity 'basic reproduction number' named entity 'epidemics' named entity 'eigenvalue' named entity 'epidemic curve' named entity 'differential equations' named entity 'epidemic curve' named entity 'Proposition 12' named entity 'basic reproduction number' named entity 'epidemic' named entity '2.1' named entity 'SIR model' named entity 'SIR model' named entity 'epidemic model' named entity 'infection' named entity 'population increases' named entity 'monotone function' named entity 'basic reproduction number' named entity 'epidemic' named entity 'SIR model' named entity 'vaccine effectiveness' named entity 'pathogen' named entity 'pathogens' named entity 'epidemic' named entity 'monotone decreasing function' named entity 'initial phase' named entity 'epidemics' named entity 'SIR model' named entity 'serological' named entity 'epidemic' named entity 'local maxima' named entity 'disease transmission' named entity 'monotone increasing' named entity 'monotonically decreasing'

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