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About:
Epidemiological model with anomalous kinetics - The Covid-19 pandemics
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type
Academic Article
research paper
schema:ScholarlyArticle
isDefinedBy
Covid-on-the-Web dataset
title
Epidemiological model with anomalous kinetics - The Covid-19 pandemics
Creator
Tirnakli, Ugur
Tsallis, Constantino
source
MedRxiv
abstract
We generalize the phenomenological, law of mass action-like, SIR and SEIR epidemiological models to situations with anomalous kinetics. Specifically, the contagion and removal terms, normally linear in the fraction $I$ of infecteds, are taken to depend on $I^{,q_{up}}$ and $I^{,q_{down}}$, respectively. These dependencies can be understood as highly reduced effective descriptions of contagion via anomalous diffusion of susceptibles and infecteds in fractal geometries, and removal (i.e., recovery or death) via complex mechanisms leading to slowly decaying removal-time distributions. We obtain rather convincing fits to time series for both active cases and mortality with the same values of $(q_{up},q_{down})$ for a given country, suggesting that such aspects may in fact be present in the evolution of the Covid-19 pandemic. We also obtain approximate values for the effective population $N_{eff}$, which turns out to be a small percentage of the entire population $N$ for each country.
has issue date
2020-06-26
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bibo:doi
10.1101/2020.06.24.20139287
has license
medrxiv
sha1sum (hex)
34d10975d6e4dfef22c006f30649e7e2b1ddb9e6
schema:url
https://doi.org/10.1101/2020.06.24.20139287
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Epidemiological model with anomalous kinetics - The Covid-19 pandemics
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covid:34d10975d6e4dfef22c006f30649e7e2b1ddb9e6#body_text
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named entity 'qup'
named entity 'anomalous diffusion'
named entity 'law of mass action'
named entity 'pandemics'
named entity 'kinetics'
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