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The COVID-19 pandemic has been characterised by multiple waves of transmission driven by interventions and emerging variants, challenging epidemic models that assume gradually evolving transmission dynamics. We propose a class of…

Applications · Statistics 2026-05-05 Patrick Aschermayr , Konstantinos Kalogeropoulos , Nikolaos Demiris

At the time of writing, the ongoing COVID-19 pandemic, caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), had already resulted in more than thirty-two million cases infected and more than one million deaths worldwide.…

Optimization and Control · Mathematics 2023-03-22 Chung-Han Hsieh

The fast transmission rate of COVID-19 worldwide has made this virus the most important challenge of year 2020. Many mitigation policies have been imposed by the governments at different regional levels (country, state, county, and city) to…

Applications · Statistics 2022-05-04 Yue Bai , Abolfazl Safikhani , George Michailidis

The SARS-CoV-2 virus and COVID-19 disease have posed unprecedented and overwhelming demand, challenges and opportunities to domain, model and data driven modeling. This paper provides a comprehensive review of the challenges, tasks,…

Computers and Society · Computer Science 2021-08-05 Longbing Cao , Qing Liu

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

Physics and Society · Physics 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to…

Populations and Evolution · Quantitative Biology 2020-12-14 Redouane Qesmi , Aayah Hammoumi

Compartmental models are widely adopted to describe and predict the spreading of infectious diseases. The unknown parameters of such models need to be estimated from the data. Furthermore, when some of the model variables are not…

Physics and Society · Physics 2021-01-18 Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

The novel COVID-19 pandemic is a current, major global health threat. Up till now, there is no fully approved pharmacological treatment or a vaccine. In this study, simple mathematical models were employed to examine the dynamics of…

Physics and Society · Physics 2020-12-25 Ahmed S. Elgazzar

Epidemiological models with constant parameters may not capture satisfactory infection patterns in the presence of pharmaceutical and non-pharmaceutical mitigation measures during a pandemic, since infectiousness is a function of time. In…

Populations and Evolution · Quantitative Biology 2022-05-16 K. D. Olumoyin , A. Q. M. Khaliq , K. M. Furati

The COVID-19 pandemic has highlighted delayed reporting as a significant impediment to effective disease surveillance and decision-making. In the absence of timely data, statistical models which account for delays can be adopted to nowcast…

Applications · Statistics 2020-11-19 Oliver Stoner , Theo Economou , Alba Halliday

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

A number of models in mathematical epidemiology have been developed to account for control measures such as vaccination or quarantine. However, COVID-19 has brought unprecedented social distancing measures, with a challenge on how to…

Populations and Evolution · Quantitative Biology 2021-09-07 Magdalena Djordjevic , Andjela Rodic , Igor Salom , Dusan Zigic , Ognjen Milicevic , Bojana Ilic , Marko Djordjevic

The contact structure between hosts has a critical influence on disease spread. However, most networkbased models used in epidemiology tend to ignore heterogeneity in the weighting of contacts. This assumption is known to be at odds with…

Populations and Evolution · Quantitative Biology 2012-09-03 Christel Kamp , Mathieu Moslonka-Lefebvre , Samuel Alizon

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

The spread of COVID-19 revealed that transmission risk patterns are not homogenous across different cities and communities, and various heterogeneous features can influence the spread trajectories. Hence, for predictive pandemic monitoring,…

Machine Learning · Computer Science 2022-09-22 Junwei Ma , Bo Li , Qingchun Li , Chao Fan , Ali Mostafavi

This article explores mathematical models for understanding the evolution of contagious diseases. The most widely known set of models are the compartmental ones, which are based on a set of differential equations. But these are not the only…

Populations and Evolution · Quantitative Biology 2021-12-07 C. O. S. Sorzano

The worldwide impact of the recent COVID-19 pandemic has been substantial, necessitating the development of accurate forecasting models to predict the spread and course of a pandemic. Previous methods for outbreak forecasting have faced…

Machine Learning · Computer Science 2024-08-28 Ashutosh Anshul , Jhalak Gupta , Mohammad Zia Ur Rehman , Nagendra Kumar

The novel coronavirus SARS-CoV-2 and resulting COVID-19 disease have had an unprecedented spread and continue to cause an increasing number of fatalities worldwide. While vaccines are still under development, social distancing, extensive…

Populations and Evolution · Quantitative Biology 2020-07-02 Calvin Tsay , Fernando Lejarza , Mark A. Stadtherr , Michael Baldea

The COVID-19 pandemic and its multiple outbreaks have challenged governments around the world. Much of the epidemiological modeling was based on pre-pandemic contact information of the population, which changed drastically due to…

Populations and Evolution · Quantitative Biology 2023-09-15 Santiago Rosa , Manuel Pulido , Juan Ruiz , Tadeo Cocucci