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The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

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

Many countries have experienced at least two waves of the COVID-19 pandemic. The second wave is far more dangerous as distinct strains appear more harmful to human health, but it stems from the complacency about the first wave. This paper…

Populations and Evolution · Quantitative Biology 2022-06-29 Edilson F. Arruda , Tarun Sharma , Rodrigo e A. Alexandre , Sinnu Susan Thomas

Multi-state models are commonly used for intermittent observations of a state over time, but these are generally based on the Markov assumption, that transition rates are independent of the time spent in current and previous states. In a…

Methodology · Statistics 2026-05-07 Christopher Jackson

Agent-based model (ABM) has been widely used to study infectious disease transmission by simulating behaviors and interactions of autonomous individuals called agents. In the ABM, agent states, for example infected or susceptible, are…

Applications · Statistics 2022-12-09 Seungha Um , Samrachana Adhikari

The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence…

Physics and Society · Physics 2023-01-02 Alex Arenas , Antonio Garijo , Sergio Gómez , Jordi Villadelprat

This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

The effect of public health interventions on an epidemic are often estimated by adding the intervention to epidemic models. During the Covid-19 epidemic, numerous papers used such methods for making scenario predictions. The majority of…

Methodology · Statistics 2024-10-16 Heejong Bong , Valérie Ventura , Larry Wasserman

Dynamic epidemic models have proven valuable for public health decision makers as they provide useful insights into the understanding and prevention of infectious diseases. However, inference for these types of models can be difficult…

Methodology · Statistics 2018-10-30 Theresa Stocks

COVID-19 pandemic has brought the whole world to a stand-still over the last few months. In particular the pace at which pandemic has spread has taken everybody off-guard. The Governments across the world have responded by imposing…

Machine Learning · Computer Science 2020-08-19 Shreekanth M. Prabhu , Natarajan Subramaniam

Global pandemics, such as the recent COVID-19 crisis, highlight the need for stochastic epidemic models that can capture the randomness inherent in the spread of disease. Such models must be accompanied by methods for estimating parameters…

Quantitative Methods · Quantitative Biology 2026-04-13 Vincent Wieland , Nils Wassmuth , Lorenzo Contento , Martin Kühn , Jan Hasenauer

The evolution of the COVID-19 epidemic has been accompanied by accumulating evidence on the underlying epidemiological parameters. Hence there is potential for models providing mid-term forecasts of the epidemic trajectory using such…

Applications · Statistics 2020-11-10 Peter Congdon

Understanding the spread of COVID-19 has been the subject of numerous studies, highlighting the significance of reliable epidemic models. Here, we introduce a novel epidemic model using a latent Hawkes process with temporal covariates for…

Methodology · Statistics 2022-08-16 Stamatina Lamprinakou , Axel Gandy , Emma McCoy

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

In this article, we consider a dynamic epidemiology model for the spread of the COVID-19 infection. Starting from the classical SEIR model, the model is modified so as to better describe characteristic features of the underlying pathogen…

Populations and Evolution · Quantitative Biology 2020-05-22 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

We tackle limitations of ordinary differential equation-driven Susceptible-Infections-Removed (SIR) models and their extensions that have recently be employed for epidemic nowcasting and forecasting. In particular, we deal with challenges…

Computation · Statistics 2026-02-10 Angelos Alexopoulos , Paul Birrell , Daniela De Angelis

In the light of several major epidemic events that emerged in the past two decades, and emphasized by the COVID-19 pandemics, the non-Markovian spreading models occurring on complex networks gained significant attention from the scientific…

Physics and Society · Physics 2021-11-30 Igor Tomovski , Lasko Basnarkov , Alajdin Abazi

We propose a generative model and an inference scheme for epidemic processes on dynamic, adaptive contact networks. Network evolution is formulated as a link-Markovian process, which is then coupled to an individual-level stochastic SIR…

Methodology · Statistics 2020-04-07 Fan Bu , Allison E. Aiello , Jason Xu , Alexander Volfovsky

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

Epidemic modeling is an essential tool to understand the spread of the novel coronavirus and ultimately assist in disease prevention, policymaking, and resource allocation. In this article, we establish a state of the art interface between…

Applications · Statistics 2020-12-17 Li Wang , Guannan Wang , Lei Gao , Xinyi Li , Shan Yu , Myungjin Kim , Yueying Wang , Zhiling Gu