Dynamics based on analysis of public data for spreading of disease

Abstract The stochastic model for epidemic spreading of the novel coronavirus disease based on the data set supply by the public health agencies in countries as Brazil, United States and India is investigated. We perform a numerical analysis using the stochastic differential equation in Itô’s calcul...

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Autor principal: Leonardo S. Lima
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/ea28b778c91c4a19bd292fc0de53d1e7
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spelling oai:doaj.org-article:ea28b778c91c4a19bd292fc0de53d1e72021-12-02T17:47:04ZDynamics based on analysis of public data for spreading of disease10.1038/s41598-021-91024-62045-2322https://doaj.org/article/ea28b778c91c4a19bd292fc0de53d1e72021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-91024-6https://doaj.org/toc/2045-2322Abstract The stochastic model for epidemic spreading of the novel coronavirus disease based on the data set supply by the public health agencies in countries as Brazil, United States and India is investigated. We perform a numerical analysis using the stochastic differential equation in Itô’s calculus for the estimating of novel cases daily, as well as analytical calculations solving the correspondent Fokker–Planck equation for the probability density distribution of novel cases, P(N(t), t). Our results display that the model based in the Itô’s diffusion fits well to the results due to uncertainty in the official data and to the number of tests realized in populations of each country.Leonardo S. LimaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Leonardo S. Lima
Dynamics based on analysis of public data for spreading of disease
description Abstract The stochastic model for epidemic spreading of the novel coronavirus disease based on the data set supply by the public health agencies in countries as Brazil, United States and India is investigated. We perform a numerical analysis using the stochastic differential equation in Itô’s calculus for the estimating of novel cases daily, as well as analytical calculations solving the correspondent Fokker–Planck equation for the probability density distribution of novel cases, P(N(t), t). Our results display that the model based in the Itô’s diffusion fits well to the results due to uncertainty in the official data and to the number of tests realized in populations of each country.
format article
author Leonardo S. Lima
author_facet Leonardo S. Lima
author_sort Leonardo S. Lima
title Dynamics based on analysis of public data for spreading of disease
title_short Dynamics based on analysis of public data for spreading of disease
title_full Dynamics based on analysis of public data for spreading of disease
title_fullStr Dynamics based on analysis of public data for spreading of disease
title_full_unstemmed Dynamics based on analysis of public data for spreading of disease
title_sort dynamics based on analysis of public data for spreading of disease
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/ea28b778c91c4a19bd292fc0de53d1e7
work_keys_str_mv AT leonardoslima dynamicsbasedonanalysisofpublicdataforspreadingofdisease
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