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The majority of research on epidemics relies on models which are formulated in continuous-time. However, real-world epidemic data is gathered and processed in a digital manner, which is more accurately described by discrete-time epidemic…

Optimization and Control · Mathematics 2021-07-23 Bastian Prasse , Piet Van Mieghem

Controlling infectious diseases is a major health priority because they can spread and infect humans, thus evolving into epidemics or pandemics. Therefore, early detection of infectious diseases is a significant need, and many researchers…

Machine Learning · Computer Science 2022-06-16 Eman Yahia Alqaissi , Fahd Saleh Alotaibi , Muhammad Sher Ramzan

Malware attacks in today's vast digital ecosystem pose a serious threat. Understanding malware propagation dynamics and designing effective control strategies are therefore essential. In this work, we propose a generic SEIRV model…

Cryptography and Security · Computer Science 2026-03-05 Samiran Ghosh , V Anil Kumar

Since the beginning of the COVID-19 pandemic, many dashboards have emerged as useful tools to monitor the evolution of the pandemic, inform the public, and assist governments in decision making. Our goal is to develop a globally applicable…

Model-based disease mapping remains a fundamental policy-informing tool in the fields of public health and disease surveillance. Hierarchical Bayesian models have emerged as the state-of-the-art approach for disease mapping since they are…

Machine Learning · Computer Science 2023-07-18 Elizaveta Semenova , Swapnil Mishra , Samir Bhatt , Seth Flaxman , H Juliette T Unwin

Accurate forecasting of infectious disease incidence is critical for public health planning and timely intervention. While most data-driven forecasting approaches rely primarily on historical data from a single country, such data are often…

Populations and Evolution · Quantitative Biology 2026-01-29 Zacharias Komodromos , Kleanthis Malialis , Artemis Kontou , Panayiotis Kolios

Background: The global spread of the severe acute respiratory syndrome (SARS) epidemic has clearly shown the importance of considering the long-range transportation networks in the understanding of emerging diseases outbreaks. The…

Other Quantitative Biology · Quantitative Biology 2008-01-16 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

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…

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

Quantitative Methods · Quantitative Biology 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

Network models are increasingly used to study infectious disease spread. Exponential Random Graph models have a history in this area, with scalable inference methods now available. An alternative approach uses mechanistic network models.…

Methodology · Statistics 2024-01-11 Octavious Smiley , Till Hoffmann , Jukka-Pekka Onnela

Classical compartmental models in epidemiology often assume a homogeneous population for simplicity, which neglects the inherent heterogeneity among individuals. This assumption frequently leads to inaccurate predictions when applied to…

Populations and Evolution · Quantitative Biology 2024-09-09 Ning Jiang , Weiqi Chu , Yao Li

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

Background: Although the outbreak of human monkeypox (mpox) caused by the monkeypox virus (MPXV) has slowed down around the world, little is known about the short-term dynamics of this disease. This limited information highlights the…

Dynamical Systems · Mathematics 2024-12-12 Md. Azmir Ibne Islam , M H M Mubassir , Arindam Kumar Paul , Sharmin Sultana Shanta

The ongoing Yemen cholera outbreak has been deemed one of the worst cholera outbreaks in history, with over a million people impacted and thousands dead. Triggered by a civil war, the outbreak has been shaped by various political,…

Computers and Society · Computer Science 2019-02-20 Rohil Badkundri , Victor Valbuena , Srikusmanjali Pinnamareddy , Brittney Cantrell , Janet Standeven

Stochastic epidemic models provide an interpretable probabilistic description of the spread of a disease through a population. Yet, fitting these models to partially observed data is a notoriously difficult task due to intractability of the…

Computation · Statistics 2022-10-21 Raphael Morsomme , Jason Xu

Mathematical modeling of disease spreading plays a crucial role in understanding, controlling and preventing epidemic outbreaks. In a microscopic description of the propagation of a disease over the complex network of human contacts, the…

Physics and Society · Physics 2021-10-08 Federico Malizia , Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

The spreading dynamics of infectious diseases is influenced by individual behaviours, which are in turn affected by the level of awareness about the epidemic. Modelling the co-evolution of disease transmission and behavioural changes within…

Physics and Society · Physics 2026-02-27 Daniele Proverbio , Riccardo Tessarin , Giulia Giordano

Assessing the practical identifiability of epidemic models is essential for determining whether parameters can be meaningfully estimated from observed data. Monte Carlo (MC) methods provide an accessible and intuitive framework; however,…

Methodology · Statistics 2025-10-01 Chiara Mattamira , Olivia Prosper Feldman

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

Socio-demographic factors influence social contact patterns and play a fundamental role in shaping the transmission dynamics of infectious diseases. However, compartment-based models of infectious disease dynamics commonly consider the…

Physics and Society · Physics 2026-05-15 Vincent X. Lomas , Tim Chambers , Leighton Watson , Michael Plank
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