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Current available data of the worldwide impact of the COVID-19 pandemic has been analyzed using dimensional analysis and self-similarity hypotheses. We show that the time series of infected population and deaths of the most impacted and…

Populations and Evolution · Quantitative Biology 2020-04-01 Alfonso M. Ganan-Calvo , Juan A. Hernandez Ramos

We present a phenomenological procedure of dealing with the COVID--19 data provided by government health agencies of eleven different countries. Instead of using the (exact or approximate) solutions to the SIR (or other) model(s) to fit the…

Physics and Society · Physics 2020-12-02 Sergio A. Hojman , Felipe A. Asenjo

Coronavirus outbreak is one of the most challenging pandemics for the entire human population of the planet Earth. Techniques such as the isolation of infected persons and maintaining social distancing are the only preventive measures…

Social and Information Networks · Computer Science 2020-09-01 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

The correct evaluation of the reproductive number $R$ for COVID-19 -- which characterizes the average number of secondary cases generated by each typical primary case -- is central in the quantification of the potential scope of the…

Applications · Statistics 2021-04-15 Claire Donnat , Susan Holmes

Forecasts of hospitalisations of infectious diseases play an important role for allocating healthcare resources during epidemics and pandemics. Large-scale analysis of model forecasts during the COVID-19 pandemic has shown that the model…

Populations and Evolution · Quantitative Biology 2025-05-20 Grégoire Béchade , Torbjörn Lundh , Philip Gerlee

We demonstrate the ability of statistical data assimilation to identify the measurements required for accurate state and parameter estimation in an epidemiological model for the novel coronavirus disease COVID-19. Our context is an effort…

Populations and Evolution · Quantitative Biology 2020-08-04 Eve Armstrong , Manuela Runge , Jaline Gerardin

The outbreak of COVID-19 in 2020 has led to a surge in interest in the mathematical modeling of infectious diseases. Such models are usually defined as compartmental models, in which the population under study is divided into compartments…

Populations and Evolution · Quantitative Biology 2021-02-16 Malú Grave , Alex Viguerie , Gabriel F. Barros , Alessandro Reali , Alvaro L. G. A. Coutinho

Purpose: This paper proposes a methodology and a computational tool to study the COVID-19 pandemic throughout the world and to perform a trend analysis to assess its local dynamics. Methods: Mathematical functions are employed to describe…

Epidemic data show the existence of a region of quasi-linear growth (strolling period) of infected cases extending in between waves. We demonstrate that this constitutes evidence for the existence of near time-scale invariance that is…

Physics and Society · Physics 2020-09-30 Giacomo Cacciapaglia , Francesco Sannino

We propose a robust parameter estimation method for dynamical systems based on Statistical Learning techniques which aims to estimate a set of parameters that well fit the dynamics in order to obtain robust evidences about the qualitative…

Methodology · Statistics 2021-02-26 Diego Marcondes

We propose a high dimensional Bayesian inference framework for learning heterogeneous dynamics of a COVID-19 model, with a specific application to the dynamics and severity of COVID-19 inside and outside long-term care (LTC) facilities. We…

Methodology · Statistics 2021-08-04 Peng Chen , Keyi Wu , Omar Ghattas

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

In the wake of the 2020 COVID-19 epidemic, much work has been performed on the development of mathematical models for the simulation of the epidemic, and of disease models generally. Most works follow the susceptible-infected-removed (SIR)…

Numerical Analysis · Mathematics 2022-05-18 Nicola Guglielmi , Elisa Iacomini , Alex Viguerie

The COVID-19 pandemic has impacted lives and economies across the globe, leading to many deaths. While vaccination is an important intervention, its roll-out is slow and unequal across the globe. Therefore, extensive testing still remains…

Predicting the endemic/epidemic transition during the temporal evolution of a contagious disease. Methods: Defining indicators for detecting the transition endemic/epidemic, with four scalars to be compared, calculated from the daily…

Analysis of PDEs · Mathematics 2023-10-02 Jacques Demongeot , Pierre Magal , Kayode Oshnubi

Mathematical modeling of epidemic spreading has been widely adopted to estimate the threats of epidemic diseases (i.e., the COVID-19 pandemic) as well as to evaluate epidemic control interventions. The indoor place is considered to be a…

Physics and Society · Physics 2022-09-14 Yao Xiao , Mofeng Yang , Zheng Zhu , Hai Yang , Lei Zhang , Sepehr Ghader

The outbreak of Coronavirus Disease 2019 (COVID-19) is an ongoing pandemic affecting over 200 countries and regions. Inference about the transmission dynamics of COVID-19 can provide important insights into the speed of disease spread and…

Methodology · Statistics 2020-07-06 Tianjian Zhou , Yuan Ji

Numerous COVID-19 clinical decision support systems have been developed. However many of these systems do not have the merit for validity due to methodological shortcomings including algorithmic bias. Methods Logistic regression models were…

Machine Learning · Computer Science 2021-11-02 Yifan Li , Garrett Yoon , Mustafa Nasir-Moin , David Rosenberg , Sean Neifert , Douglas Kondziolka , Eric Karl Oermann

We consider a global (location independent) model of pandemic growth which generalizes the SIR model to accommodate important features of the COVID-19 pandemic, notably the implementation of pandemic reduction measures. This "SHIR" model is…

Populations and Evolution · Quantitative Biology 2020-07-30 T. Barnes

We show that the COVID-19 pandemic under social distancing exhibits universal dynamics. The cumulative numbers of both infections and deaths quickly cross over from exponential growth at early times to a longer period of power law growth,…

Populations and Evolution · Quantitative Biology 2020-04-23 Robert Marsland , Pankaj Mehta
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