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Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

When surveillance data of infectious disease incidence (e.g. weekly case counts) are disaggregated by demographic indicators, disparities in long-run health outcomes between these groups become apparent. Accurate identification of high-risk…

Methodology · Statistics 2026-05-29 Miles Moran , Rob Trangucci , Lisa Madsen

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei Wang

Monitoring key elements of disease dynamics (e.g., prevalence, case counts) is of great importance in infectious disease prevention and control, as emphasized during the COVID-19 pandemic. To facilitate this effort, we propose a new…

Methodology · Statistics 2024-10-10 Lin Ge , Yuzi Zhang , Lance A. Waller , Robert H. Lyles

The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic. To evaluate the role of asymptomatic infections in the spread of the epidemic, we…

Analysis of PDEs · Mathematics 2022-10-25 ZH. Zhang , XT. Huang , KD. Cheng , CQ. Xu , SB. Guo , XJ. Wang

The number of new infections per day is a key quantity for effective epidemic management. It can be estimated relatively directly by testing of random population samples. Without such direct epidemiological measurement, other approaches are…

Applications · Statistics 2021-06-18 Simon N. Wood

Identifiability is the property in mathematical modelling that determines if model parameters can be uniquely estimated from data. For infectious disease models, failure to ensure identifiability can lead to misleading parameter estimates…

Methodology · Statistics 2025-06-10 Fanny Bergström , Martina Favero , Tom Britton

This work aims to assess the risks of Covid-19 disease spread in diverse daily-life situations (referred to as scenarios) involving crowds of maskless pedestrians, mostly outdoors. More concretely, we develop a method to infer the global…

Physics and Society · Physics 2021-11-04 Willy Garcia , Simon Mendez , Baptiste Fray , Alexandre Nicolas

COVID-19 pandemic is severely impacting the lives of billions across the globe. Even after taking massive protective measures like nation-wide lockdowns, discontinuation of international flight services, rigorous testing etc., the infection…

Quantitative Methods · Quantitative Biology 2020-08-28 Sayantari Ghosh , Saumik Bhattacharya

The networked structure of contacts shapes the spreading of epidemic processes. Recent advances on network theory have improved our understanding of the epidemic processes at large scale. The relevance of several considerations still needs…

Physics and Society · Physics 2019-02-21 Sergio Gómez , Alberto Fernández , Sandro Meloni , Alex Arenas

Breaking a complex bio-social phenomenon (epidemic) into its components, considering the processes that determine its dynamics, formalizing the accepted hypotheses in mathematical equations, selecting appropriate experimental and…

Physics and Society · Physics 2020-06-16 A. V. Sokolov , L. A. Sokolova

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

We introduce a new method for inference in stochastic epidemic models which uses recursive multinomial approximations to integrate over unobserved variables and thus circumvent likelihood intractability. The method is applicable to a class…

Methodology · Statistics 2021-02-24 Nick Whiteley , Lorenzo Rimella

Recently, we proposed an state model (compartment model) to describe the progression of a chronic disease with an pre-clinical (undiagnosed) state before clinical diagnosis. It is an open question, if a sequence of cross-sectional studies…

Populations and Evolution · Quantitative Biology 2015-11-24 Ralph Brinks

Individual-level epidemic models are increasingly being used to help understand the transmission dynamics of various infectious diseases. However, fitting such models to individual-level epidemic data is challenging, as we often only know…

Applications · Statistics 2026-02-17 Dirk Douwes-Schultz , Rob Deardon , Alexandra M. Schmidt

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

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

This paper is concerned with the design of intermittent non-pharmaceutical strategies to mitigate the spread of the COVID-19 epidemic exploiting network epidemiological models. Specifically, by studying a variational equation for the…

Populations and Evolution · Quantitative Biology 2022-04-14 Marco Coraggio , Shihao Xie , Francesco De Lellis , Giovanni Russo , Mario di Bernardo

Age-dependent dynamics is an important characteristic of many infectious diseases. Age-group epidemic models describe the infection dynamics in different age-groups by allowing to set distinct parameter values for each. However, such models…

Methodology · Statistics 2017-07-17 Rami Yaari , Itai Dattner , Amit Huppert

Since the beginning of the COVID-19 pandemic, many dashboards have emerged as useful tools to monitor the evolution of the pandemic, inform the public, and assist governments in decision making. Our goal is to develop a globally applicable…

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