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Related papers: Pandemic infection forecasting through compartment…

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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 work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to…

Populations and Evolution · Quantitative Biology 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo

Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the classical models fail to account for certain features of this…

Dynamical Systems · Mathematics 2023-08-21 Monique Chyba , Taylor Klotz , Yuriy Mileyko , Corey Shanbrom

The coronavirus disease 2019 (COVID-19) pandemic has been ongoing for around 3 years, and has infected over 750 million people and caused over 6 million deaths worldwide at the time of writing. Throughout the pandemic, several strategies…

Artificial Intelligence · Computer Science 2023-08-17 Mohamed Harmanani

In this paper, we develop a method to estimate the infection-rate of a disease, over a region, as a field that varies in space and time. To do so, we use time-series of case-counts of symptomatic patients as observed in the areal units that…

Applications · Statistics 2024-06-19 Cosmin Safta , Wyatt Bridgman , Jaideep Ray

For the last few years there has been a resurgence in the use of phenomenological growth models for predicting the early dynamics of infectious diseases. These models assume that time is a continuous variable whereas in the present…

Populations and Evolution · Quantitative Biology 2023-01-24 María T. Pérez-Maldonado , Julián Bravo-Castillero , Ricardo Mansilla , Rogelio O. Caballero-Pérez

Compartmental models, especially the Susceptible-Infected-Removed (SIR) model, have long been used to understand the behaviour of various diseases. Allowing parameters, such as the transmission rate, to be time-dependent functions makes it…

Methodology · Statistics 2024-09-27 Son Luu , Edward Susko , Lam Si Tung Ho

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

Modeling epidemic spread is critical for informing policy decisions aimed at mitigation. Accordingly, in this work we present a new data-driven method based on Gaussian process regression (GPR) to model epidemic spread through the…

Machine Learning · Statistics 2025-06-23 Baike She , Lei Xin , Philip E. Paré , Matthew Hale

The widespread, and in many countries unprecedented, use of non-pharmaceutical interventions (NPIs) during the COVID-19 pandemic has highlighted the need for mathematical models which can estimate the impact of these measures while…

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

Methodology · Statistics 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

The COVID-19 pandemic has significantly challenged traditional epidemiological models due to factors such as delayed diagnosis, asymptomatic transmission, isolation-induced contact changes, and underreported mortality. In response to these…

Applications · Statistics 2025-03-10 Wenchen Liu , Chang Liu , Dehui Wang , Yiyuan She

This research presents an advanced fractional-order compartmental model designed to delve into the complexities of COVID-19 transmission dynamics, specifically accounting for the influence of environmental pathogens on disease spread. By…

Populations and Evolution · Quantitative Biology 2024-07-09 Moein Khalighi , Faïçal Ndaïrou , Leo Lahti

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

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

Short-term forecasts of infectious disease spread are a critical component in risk evaluation and public health decision making. While different models for short-term forecasting have been developed, open questions about their relative…

We study the problem of estimating the parameters (i.e., infection rate and recovery rate) governing the spread of epidemics in networks. Such parameters are typically estimated by measuring various characteristics (such as the number of…

Systems and Control · Electrical Eng. & Systems 2021-05-12 Lintao Ye , Philip E. Paré , Shreyas Sundaram

As global living standards improve and medical technology advances, many infectious diseases have been effectively controlled. However, certain diseases, such as the recent COVID-19 pandemic, continue to pose significant threats to public…

Numerical Analysis · Mathematics 2025-02-24 Ayesha Baig , Li Zhouxin

We have established a novel mathematical model that considers various aspects of the spreading of the virus, including, the transmission based on being in the latent period, environment to human transmission, governmental decisions, and…

Quantitative Methods · Quantitative Biology 2020-08-31 Kamran Soltani , Ghader Rezazadeh

In regard to infectious diseases socioeconomic determinants are strongly associated with differential exposure and susceptibility however they are seldom accounted for by standard compartmental infectious disease models. These associations…

Applications · Statistics 2022-11-28 Alison C Hale , Jonathan M Read , Christopher P Jewell
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