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Related papers: The k-statistics approach to epidemiology

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We recently described a dynamic causal model of a COVID-19 outbreak within a single region. Here, we combine several of these (epidemic) models to create a (pandemic) model of viral spread among regions. Our focus is on a second wave of new…

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

During the COVID-19 pandemic, different countries, regions, and communities constructed various epidemic models to evaluate spreading behaviors and assist in making mitigation policies. Model uncertainties, introduced by complex…

Physics and Society · Physics 2025-06-23 Baike She , Rebecca Lee Smith , Ian Pytlarz , Shreyas Sundaram , Philip E. Paré

Coronavirus disease (COVID-19) which is caused by SARS-COV2 has become a pandemic. This disease is highly infectious and potentially fatal, causing a global public health concern. To contain the spread of COVID-19, governments are adopting…

Physics and Society · Physics 2020-06-22 Sayantari Ghosh , Saumik Bhattacharya

We consider a model for an influenza-like disease, in which, between seasons, the virus makes a random genetic drift $\delta$, (reducing immunity by the factor $\delta$) and obtains a new random transmissibility $\tau$ (closely related to…

Probability · Mathematics 2025-05-26 Tom Britton , Andrea Pugliese

Some of the key questions of interest during the COVID-19 pandemic (and all outbreaks) include: where did the disease start, how is it spreading, who is at risk, and how to control the spread. There are a large number of complex factors…

Populations and Evolution · Quantitative Biology 2020-09-22 Aniruddha Adiga , Jiangzhuo Chen , Madhav Marathe , Henning Mortveit , Srinivasan Venkatramanan , Anil Vullikanti

Given the urgent informational needs connected with the diffusion of infection with regard to the COVID-19 pandemic, in this paper, we propose a sampling design for building a continuous-time surveillance system. Compared with other…

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

During the COVID-19 pandemic, regulatory decision-making was hampered by a lack of timely and high-quality data on rare outcomes. Studying rare outcomes following infection and vaccination requires conducting multi-center observational…

Methodology · Statistics 2025-07-22 Malcolm Risk , Xu Shi , Lili Zhao

COVID-19 is an emerging respiratory infectious disease caused by the coronavirus SARS-CoV-2. It was first reported on in early December 2019 in Wuhan, China and within three month spread as a pandemic around the whole globe. Here, we study…

Populations and Evolution · Quantitative Biology 2020-09-23 Bernd Blasius

We propose a general Bayesian approach to modeling epidemics such as COVID-19. The approach grew out of specific analyses conducted during the pandemic, in particular an analysis concerning the effects of non-pharmaceutical interventions…

Applications · Statistics 2021-01-01 Samir Bhatt , Neil Ferguson , Seth Flaxman , Axel Gandy , Swapnil Mishra , James A. Scott

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

Physics and Society · Physics 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

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

In a given country, the cumulative death toll of the first wave of the COVID-19 epidemic follows a sigmoid curve as a function of time. In most cases, the curve is well described by the Gompertz function, which is characterized by two…

Populations and Evolution · Quantitative Biology 2020-08-07 Kristoffer Rypdal , Martin Rypdal

Recent outbreaks of monkeypox and Ebola, and worrying waves of COVID-19, influenza and respiratory syncytial virus, have all led to a sharp increase in the use of epidemiological models to estimate key epidemiological parameters. The…

Populations and Evolution · Quantitative Biology 2023-12-01 B. K. M. Case , Jean-Gabriel Young , Laurent Hébert-Dufresne

Currently, the global situation of COVID-19 is aggravating, pressingly calling for efficient control and prevention measures. Understanding spreading pattern of COVID-19 has been widely recognized as a vital step for implementing…

Many countries have experienced at least two waves of the COVID-19 pandemic. The second wave is far more dangerous as distinct strains appear more harmful to human health, but it stems from the complacency about the first wave. This paper…

Populations and Evolution · Quantitative Biology 2022-06-29 Edilson F. Arruda , Tarun Sharma , Rodrigo e A. Alexandre , Sinnu Susan Thomas

This paper addresses statistical modelling and forecasting of key indicators describing the severity of a developing pandemic, using routinely reported daily counts of infections, hospitalizations, deaths (both in and out of hospital), and…

Starting with the power law for the total number of detected infections, we propose differential equations describing the effect of momentum epidemic management. Our 2-phase formula matches very well the curves of the total numbers of the…

Populations and Evolution · Quantitative Biology 2020-10-12 Ivan Cherednik

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