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The annual influenza outbreak leads to significant public health and economic burdens making it desirable to have prompt and accurate probabilistic forecasts of the disease spread. The United States Centers for Disease Control and…

Applications · Statistics 2025-08-29 Spencer Wadsworth , Jarad Niemi

Aim: To assess the frequency of secondary transmissions of primary pneumonic plague relative to the onset of fever. Methods: A simple backcalculation method was employed to estimate the frequency of secondary transmissions relative to…

Populations and Evolution · Quantitative Biology 2008-10-10 Hiroshi Nishiura

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

Populations and Evolution · Quantitative Biology 2026-02-23 David J. D. Earn , Todd L. Parsons

Epidemic models are used to analyze the progression or outcome of an epidemic under different control policies like vaccinations, quarantines, lockdowns, use of face-masks, pharmaceutical interventions, etc. When these models accurately…

Quantitative Methods · Quantitative Biology 2022-04-19 Carlos Hernandez-Suarez , Osval Montsinos Lopez , Ramon Solano-Barajas

Seasonal influenza presents an ongoing challenge to public health. The rapid evolution of the flu virus necessitates annual vaccination campaigns, but the decision to get vaccinated or not in a given year is largely voluntary, at least in…

Populations and Evolution · Quantitative Biology 2021-01-21 Irena Papst , Kevin P. O'Keeffe , Steven H. Strogatz

Health-policy planning requires evidence on the burden that epidemics place on healthcare systems. Multiple, often dependent, datasets provide a noisy and fragmented signal from the unobserved epidemic process including transmission and…

Applications · Statistics 2024-09-11 Alice Corbella , Anne M Presanis , Paul J Birrell , Daniela De Angelis

With a simple phenomenological metapopulation model, which characterizes the invasion process of an influenza pandemic from a source to a subpopulation at risk, we compare the efficiency of inter- and intra-population interventions in…

Physics and Society · Physics 2012-09-27 Lin Wang , Yan Zhang , Tianyi Huang , Xiang Li

The containment of epidemic spreading is a major challenge in science. Vaccination, whenever available, is the best way to prevent the spreading, because it eventually immunizes individuals. However, vaccines are not perfect, and total…

Conventional wisdom holds that influenza A and B are such genetically dissimilar viruses that infection with one cannot confer cross-immunity to the other. However, our examination of the records of the past 25 influenza seasons in the U.S.…

Populations and Evolution · Quantitative Biology 2010-07-20 Sherry Towers , Zhilan Feng , Nathaniel Hupert

Infectious disease forecasts can reduce mortality and morbidity by supporting evidence-based public health decision making. Most epidemic models train on surveillance and structured data (e.g. weather, mobility, media), missing contextual…

This study uses data from the 1918-1920 influenza pandemic in Japan along with newly digitized and complete census records on births and infant deaths to analyze mortality selection in utero. I find that fetal exposure to the influenza…

Applications · Statistics 2023-02-20 Kota Ogasawara

Accurate and reliable predictions of infectious disease dynamics can be valuable to public health organizations that plan interventions to decrease or prevent disease transmission. A great variety of models have been developed for this…

Machine Learning · Statistics 2018-07-04 Evan L. Ray , Nicholas G. Reich

Forecasting infectious disease incidence can provide important information to guide public health planning, yet is difficult because epidemic dynamics are complex. Current mechanistic and statistical approaches often struggle to capture…

Machine Learning · Computer Science 2026-04-29 Joseph Lemaitre , Justin Lessler

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

A model describing the dynamics related to the spreading of non-lethal infectious diseases in a fixed-size population is proposed. The model consists of a non-linear delay-differential equation describing the time evolution of the increment…

Populations and Evolution · Quantitative Biology 2010-10-05 A. Noviello , F. Romeo , R. De Luca

Influenza is an infectious disease with the potential to become a pandemic, and hence, forecasting its prevalence is an important undertaking for planning an effective response. Research has found that web search activity can be used to…

Machine Learning · Computer Science 2021-05-27 Michael Morris , Peter Hayes , Ingemar J. Cox , Vasileios Lampos

This work is devoted to the study of the probability of immunity, i.e. the effect occurs whether exposed or not. We derive necessary and sufficient conditions for non-immunity and $\epsilon$-bounded immunity, i.e. the probability of…

Methodology · Statistics 2023-10-12 Jose M. Peña

As a dedicated follower of sports statistics and with the MLB season beginning in late March, I set out to predict how many wins each team would accumulate by the end of the 162 game season. The goal was to build a simulation framework…

Applications · Statistics 2025-05-09 Simon Cha

Throughout the Covid-19 pandemic, a significant amount of effort had been put into developing techniques that predict the number of infections under various assumptions about the public policy and non-pharmaceutical interventions. While…

Computers and Society · Computer Science 2021-12-22 Sharare Zehtabian , Siavash Khodadadeh , Damla Turgut , Ladislau Bölöni

This article examines how diseases on random networks spread in time. The disease is described by a probability distribution function for the number of infected and recovered individuals, and the probability distribution is described by a…

Adaptation and Self-Organizing Systems · Physics 2013-05-29 M. Marder