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We develop a statistical model for the testing of disease prevalence in a population. The model assumes a binary test result, positive or negative, but allows for biases in sample selection and both type I (false positive) and type II…

Applications · Statistics 2021-12-28 Lucas Böttcher , Maria R. D'Orsogna , Tom Chou

The discovery of SARS-CoV-2, the responsible virus for the Covid-19 epidemic, has sparked a global health concern with many countries affected. Developing models that can interpret the epidemic and give common trend parameters are useful…

Populations and Evolution · Quantitative Biology 2021-09-21 Milad Radiom , Jean-Franccois Berret

The recent COVID-19 pandemic has shown that when the reproduction number is high and there are no proper measurements in place, the number of infected people can increase dramatically in a short time, producing a phenomenon that many…

Populations and Evolution · Quantitative Biology 2022-09-20 Jonathan A. Chávez Casillas

Having accurate and timely data on confirmed active COVID-19 cases is challenging, since it depends on testing capacity and the availability of an appropriate infrastructure to perform tests and aggregate their results. In this paper, we…

There are many hard-to-reconcile numbers circulating concerning Covid-19. Using reports from random testing, the fatality ratio per infection is evaluated and used to extract further information on the actual fraction of infections and the…

Populations and Evolution · Quantitative Biology 2020-05-25 Allen Caldwell , Vasyl Hafych , Oliver SChulz , Lolian Shtembari

The spread of COVID-19 makes it essential to investigate its prevalence. In such investigation research, as far as we know, the widely-used sampling methods didn't use the information sufficiently about the numbers of the previously…

Applications · Statistics 2022-01-04 Ze Liu , Siyu Yi , Jianghu , Dong , Min-Qian Liu , Yongdao Zhou

The aim of the paper is to describe a model of the development of the Covid-19 contamination of the population of a country or a region. For this purpose a special branching process with two types of individuals is considered. This model is…

Methodology · Statistics 2020-04-03 Nikolay M. Yanev , Vessela K. Stoimenova , Dimitar V. Atanasov

The COVID-19 pandemic has plagued the world for months. The U.S. has taken measures to counter it. On a daily basis, newly confirmed cases have been reported. In the early days, these numbers showed an increasing trend. Recently, the…

Physics and Society · Physics 2020-05-21 Xiubin Bruce Wang , Chaolun Ma

As the COVID-19 outbreak is developing the two most frequently reported statistics seem to be the raw confirmed case and case fatalities counts. Focusing on Italy, one of the hardest hit countries, we look at how these two values could be…

Applications · Statistics 2020-11-23 Krzysztof Bartoszek , Emanuele Guidotti , Stefano Maria Iacus , Marcin Okrój

As a consequence of missing data on tests for infection and imperfect accuracy of tests, reported rates of population infection by the SARS CoV-2 virus are lower than actual rates of infection. Hence, reported rates of severe illness…

Econometrics · Economics 2020-04-27 Charles F. Manski , Francesca Molinari

During the COVID-19 pandemic, a massive number of attempts on the predictions of the number of cases and the other future trends of this pandemic have been made. However, they fail to predict, in a reliable way, the medium and long term…

Machine Learning · Computer Science 2020-11-30 Mert Nakıp , Onur Çopur , Cüneyt Güzeliş

Countries officially record the number of COVID-19 cases based on medical tests of a subset of the population with unknown participation bias. For prevalence estimation, the official information is typically discarded and, instead, small…

Methodology · Statistics 2020-12-25 Stéphane Guerrier , Christoph Kuzmics , Maria-Pia Victoria-Feser

There are many sources of data giving information about the number of SARS-CoV-2 infections in the population, but all have major drawbacks, including biases and delayed reporting. For example, the number of confirmed cases largely…

Applications · Statistics 2022-06-08 Nicholas J. Irons , Adrian E. Raftery

Understanding the spread of SARS-CoV-2 has been one of the most pressing problems of the recent past. Network models present a potent approach to studying such spreading phenomena because of their ability to represent complex social…

Social and Information Networks · Computer Science 2023-11-01 Christine Hedde-von Westernhagen , Javier Garcia-Bernardo , Ayoub Bagheri

We have proposed a new form of growth rate for population ecology. Generally, the growth rate is dependent on the size of the population at that particular epoch. We have introduced an alternative time-dependent form of growth rate. This…

Populations and Evolution · Quantitative Biology 2020-04-28 Deeptak Biswas , Sulagna Roy

Phenomenological and deterministic models are often used for the estimation of transmission parameters in an epidemic and for the prediction of its growth trajectory. Such analyses are usually based on single peak outbreak dynamics. In…

Populations and Evolution · Quantitative Biology 2022-01-20 D. P. Mahapatra , S. Triambak

We argue that frequent sampling of the fraction of infected people (either by random testing or by analysis of sewage water), is central to managing the COVID-19 pandemic because it both measures in real time the key variable controlled by…

Populations and Evolution · Quantitative Biology 2020-07-24 Markus Müller , Peter M. Derlet , Christopher Mudry , Gabriel Aeppli

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…

Comparing how different populations have suffered under COVID-19 is a core part of ongoing investigations into how public policy and social inequalities influence the number of and severity of COVID-19 cases. But COVID-19 incidence can vary…

Populations and Evolution · Quantitative Biology 2022-11-17 Ryan Wilkinson , Marcus Roper

Susceptible-Invective-Recovered (SIR) mathematical models are in high demand due to the COVID-19 pandemic. They are used in their standard formulation, or through the many variants, trying to fit and hopefully predict the number of new…

Populations and Evolution · Quantitative Biology 2020-05-19 Ben-Hur Francisco Cardoso , Sebastián Gonçalves
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