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Mathematical modeling of disease outbreaks can infer the future trajectory of an epidemic, which can inform policy decisions. Another task is inferring the origin of a disease, which is relatively difficult with current mathematical models.…

Physics and Society · Physics 2022-08-31 Mehrad Ansari , David Soriano-Paños , Gourab Ghoshal , Andrew D. White

The multivariable fractional polynomial (MFP) procedure combines variable selection with a function selection procedure (FSP). For continuous variables, a closed test procedure is used to decide between no effect, linear, FP1 or FP2…

Methodology · Statistics 2022-09-21 Willi Sauerbrei , Edwin Kipruto , James Balmford

Diffusion models are learning pattern-learning systems to model and sample from data distributions with three functional components namely the forward process, the reverse process, and the sampling process. The components of diffusion…

Machine Learning · Computer Science 2025-06-02 Ziyi Chang , George Alex Koulieris , Hyung Jin Chang , Hubert P. H. Shum

A deterministic pathogen transmission model based on high-fidelity physics has been developed. The model combines computational fluid dynamics and computational crowd dynamics in order to be able to provide accurate tracing of viral matter…

Numerical Analysis · Mathematics 2022-10-26 Rainald Löhner , Harbir Antil , Juan Marcelo Gimenez , Sergio Idelsohn , Eugenio Oñate

The characteristics of influenza seasons varies substantially from year to year, posing challenges for public health preparation and response. Influenza forecasting is used to inform seasonal outbreak response, which can in turn potentially…

Applications · Statistics 2022-03-16 Nutcha Wattanachit , Evan L. Ray , Thomas C. McAndrew , Nicholas G. Reich

Influenza is an acute respiratory illness that occurs virtually every year and results in substantial disease, death and expense. Detection of Influenza in its earliest stage would facilitate timely action that could reduce the spread of…

Social and Information Networks · Computer Science 2013-11-20 Jiwei Li , Claire Cardie

Between pandemics, the influenza virus exhibits periods of incremental evolution via a process known as antigenic drift. This process gives rise to a sequence of strains of the pathogen that are continuously replaced by newer strains,…

Populations and Evolution · Quantitative Biology 2020-08-18 Adam Griffin , Simon E. F. Spencer , Gareth O. Roberts

Infectious diseases are a significant threat to human society which was over sighted before the incidence of COVID-19, although according to the report of the World Health Organisation (WHO) about 4.2 million people die annually due to…

Physics and Society · Physics 2021-02-05 Md Shahzamal , Saeed Khan

In this paper, the motility model for the developed country, which United State possesses the largest economy in the world and thus serves as an ideal representation, is investigated. Early surveillance of the causes of death is critical…

Social and Information Networks · Computer Science 2019-02-04 Fu-Chun Yeh

The 1918 influenza pandemic was characterized by multiple epidemic waves. We investigated into reactive social distancing, a form of behavioral responses, and its effect on the multiple influenza waves in the United Kingdom. Two forms of…

Populations and Evolution · Quantitative Biology 2017-07-19 Duo Yu , Qianying Lin , Alice PY Chiu , Daihai He

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

Many models in mathematical epidemiology are developed with the aim to provide a framework for parameter estimation and then prediction. It is well-known that parameters are not always uniquely identifiable. In this paper we consider…

Dynamical Systems · Mathematics 2022-08-17 István Zoltán Kiss , Péter L. Simon

Statistical models often require inputs that are not completely known. This can occur when inputs are measured with error, indirectly, or when they are predicted using another model. In environmental epidemiology, air pollution exposure is…

Methodology · Statistics 2025-12-23 Konstantin Larin , Daniel R. Kowal

In this paper, we propose a realistic mathematical model taking into account the mutual interference among the interacting populations. This model attempts to describe the control (vaccination) function as a function of the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-18 V. Sree Hari Rao , M. Naresh Kumar

Estimation of epidemiological and population parameters from molecular sequence data has become central to the understanding of infectious disease dynamics. Various models have been proposed to infer details of the dynamics that describe…

Populations and Evolution · Quantitative Biology 2014-12-25 Alex Popinga , Tim Vaughan , Tanja Stadler , Alexei Drummond

Viruses causing flu or milder coronavirus colds are often referred to as "seasonal viruses" as they tend to subside in warmer months. In other words, meteorological conditions tend to impact the activity of viruses, and this information can…

Knowledge of the severity of an influenza outbreak is crucial for informing and monitoring appropriate public health responses, both during and after an epidemic. However, case-fatality, case-intensive care admission and…

Accurate real-time tracking of influenza outbreaks helps public health officials make timely and meaningful decisions that could save lives. We propose an influenza tracking model, ARGO (AutoRegression with GOogle search data), that uses…

Applications · Statistics 2015-11-17 Shihao Yang , Mauricio Santillana , S. C. Kou

Understanding how genetic changes allow emerging virus strains to escape the protection afforded by vaccination is vital for the maintenance of effective vaccines. In the current work, we use structural and phylogenetic differences between…

Applications · Statistics 2019-05-14 Vinny Davies , William T. Harvey , Richard Reeve , Dirk Husmeier

Epidemics occur in all shapes and forms: infections propagating in our sparse sexual networks, rumours and diseases spreading through our much denser social interactions, or viruses circulating on the Internet. With the advent of large…

Physics and Society · Physics 2013-09-02 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé