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Infectious diseases that incorporate pre-symptomatic transmission are challenging to monitor, model, predict and contain. We address this scenario by studying a variant of a stochastic susceptible-exposed-infected-recovered model on…

Physics and Society · Physics 2021-05-07 Bo Li , David Saad

COVID-19 remains a challenging global threat with ongoing waves of infections and clinical disease which have resulted millions of deaths and an enormous strain on health systems worldwide. Effective vaccines have been developed for the…

Epidemic forecasting is the key to effective control of epidemic transmission and helps the world mitigate the crisis that threatens public health. To better understand the transmission and evolution of epidemics, we propose EpiGNN, a graph…

Quantitative Methods · Quantitative Biology 2022-08-25 Feng Xie , Zhong Zhang , Liang Li , Bin Zhou , Yusong Tan

Recent seroprevalence studies have tried to estimate the real number of asymptomatic cases affected by COVID-19. It is of paramount importance to understand the impact of these infections in order to prevent a second wave. This study aims…

Physics and Society · Physics 2023-11-13 Leonardo Stella , Alejandro Pinel Martínez , Dario Bauso , Patrizio Colaneri

Our main goal in this paper is to quantitatively compare the performance of classical methods to XGBoost and convolutional neural networks in a parameter estimation problem for epidemic spread. As we use flexible two-layer random graphs as…

Social and Information Networks · Computer Science 2024-07-11 Ágnes Backhausz , Edit Bognár , Villő Csiszár , Damján Tárkányi , András Zempléni

Masks are used as part of a comprehensive strategy of measures to limit transmission and save lives during the COVID-19 pandemic. Research about the impact of mask-wearing in the COVID-19 pandemic has raised formidable interest across…

Social and Information Networks · Computer Science 2020-11-10 Yurun Tian , Anirudh Sridhar , Osman Yagan , H. Vincent Poor

The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

Dynamical Systems · Mathematics 2021-07-26 Hannah Scanlon , John Gemmer

We study the stochastic susceptible-infected-susceptible model of epidemic processes on finite directed and weighted networks with arbitrary structure. We present a new lower bound on the exponential rate at which the probabilities of nodes…

Physics and Society · Physics 2020-04-28 Naoki Masuda , Victor M. Preciado , Masaki Ogura

The paper presents classification and analysis of the mathematical models of COVID-19 spread in different groups of populations such as the family, school, office (3-100 people), neighborhood (100-5000 people), city, region (0.5-15 million…

Populations and Evolution · Quantitative Biology 2022-02-01 O. I. Krivorotko , S. I. Kabanikhin

Among the diverse and important applications that networks currently have is the modeling of infectious diseases. Immunization, or the process of protecting nodes in the network, plays a key role in stopping diseases from spreading. Hence…

Populations and Evolution · Quantitative Biology 2021-07-22 Ronald Manríquez , Camilo Guerrero-Nancuante

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

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

In this paper, we continue development of the new epidemiological model HIT, which is suitable for analyzing and predicting the propagation of COVID-19 epidemics. This is a discrete-time model allowing a reconstruction of the dynamics of…

Physics and Society · Physics 2020-07-24 Yurii Nesterov

We develop a model of infection spread that takes into account the existence of a vulnerable group as well as the variability of the social relations of individuals. We develop a compartmentalized power-law model, with power-law connections…

Physics and Society · Physics 2020-10-13 Simone Santini

Modelling epidemic events such as COVID-19 cases in both time and space dimensions is an important but challenging task. Building on in-depth review and assessment of two popular graph neural network (GNN)-based regional epidemic…

Computation · Statistics 2025-11-20 Xiangxin Kong , Hang Wang , Yutong Li , Yanghao Chen , Zudi Lu

In a networked system, functionality can be seriously endangered when nodes are infected, due to internal random failures or a contagious virus that develops into an epidemic. Given a snapshot of the network representing the nodes' states…

Social and Information Networks · Computer Science 2019-12-13 Seyyedali Hosseinalipour , Jie Wang , Yuanzhe Tian , Huaiyu Dai

The spread of an epidemic is often modeled by an SIR random process on a social network graph. The MinINF problem for optimal social distancing involves minimizing the expected number of infections, when we are allowed to break at most $B$…

Data Structures and Algorithms · Computer Science 2022-02-18 Amy Babay , Michael Dinitz , Aravind Srinivasan , Leonidas Tsepenekas , Anil Vullikanti

In this review, we successively present the methods for phenomenological modeling of the evolution of reported and unreported cases of COVID-19, both in the exponential phase of growth and then in a complete epidemic wave. After the case of…

Analysis of PDEs · Mathematics 2023-10-02 J. Demongeot , P. Magal

Understanding how misinformation affects the spread of disease is crucial for public health, especially given recent research indicating that misinformation can increase vaccine hesitancy and discourage vaccine uptake. However, it is…

Social and Information Networks · Computer Science 2026-02-09 Matthew R. DeVerna , Francesco Pierri , Yong-Yeol Ahn , Santo Fortunato , Alessandro Flammini , Filippo Menczer

The acute phase of the Covid-19 pandemic has made apparent the need for decision support based upon accurate epidemic modeling. This process is substantially hampered by under-reporting of cases and related data incompleteness issues. In…

Applications · Statistics 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris