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Efficient allocation of limited medical resources is crucial for controlling epidemic spreading on networks. Based on the susceptible-infected-susceptible model, we solve an optimization problem as how best to allocate the limited resources…

Populations and Evolution · Quantitative Biology 2017-08-02 Hanshuang Chen , Guofeng Li , Haifeng Zhang , Zhonghuai Hou

Models for control of epidemics on local, global and small-world networks are considered, with only partial information accessible about the status of individuals and their connections. The main goal of an effective control measure is to…

Physics and Society · Physics 2007-05-23 A. Kleczkowski , B. Dybiec , C. A. Gilligan

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno

Effective containment of spreading processes such as epidemics requires accurate knowledge of several key parameters that govern their dynamics. In this work, we first show that the problem of identifying the underlying parameters of…

Systems and Control · Electrical Eng. & Systems 2023-11-03 Chi Ho Leung , William E. Retnaraj , Ashish R. Hota , Philip E. Paré

We study the problem of parameter estimation based on infection data from an epidemic outbreak on a graph. We assume that successive infections occur via contagion; i.e., transmissions can only spread across existing directed edges in the…

Statistics Theory · Mathematics 2018-06-15 Justin Khim , Po-Ling Loh

Current understanding of the critical outbreak condition on temporal networks relies on approximations (time scale separation, discretization) that may bias the results. We propose a theoretical framework to compute the epidemic threshold…

Physics and Society · Physics 2018-02-08 Eugenio Valdano , Michele Re Fiorentin , Chiara Poletto , Vittoria Colizza

This paper re-examines the problem of parameter estimation in Bayesian networks with missing values and hidden variables from the perspective of recent work in on-line learning [Kivinen & Warmuth, 1994]. We provide a unified framework for…

Machine Learning · Computer Science 2013-02-08 Eric Bauer , Daphne Koller , Yoram Singer

The vast majority of models for the spread of communicable diseases are parametric in nature and involve underlying assumptions about how the disease spreads through a population. In this article we consider the use of Bayesian…

Methodology · Statistics 2017-06-12 Theodore Kypraios , Philip D. O'Neill

We consider the problem of controlling the spread of harmful items in networks, such as the contagion proliferation of diseases or the diffusion of fake news. We assume the linear threshold model of diffusion where each node has a threshold…

Computational Complexity · Computer Science 2021-02-09 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

The Susceptible-Infectious-Recovered (SIR) equations and their extensions comprise a commonly utilized set of models for understanding and predicting the course of an epidemic. In practice, it is of substantial interest to estimate the…

Applications · Statistics 2025-05-07 Omar Melikechi , Alexander L. Young , Tao Tang , Trevor Bowman , David Dunson , James Johndrow

We show that the recently introduced logarithmic metrics used to predict disease arrival times on complex networks are approximations of more general network-based measures derived from random walks theory. Using the daily air-traffic…

Physics and Society · Physics 2017-01-18 Flavio Iannelli , Andreas Koher , Dirk Brockmann , Philipp Hoevel , Igor M. Sokolov

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

Our main goal is to examine the role of communities in epidemic spread in a random graph model. More precisely, we consider a random graph model which consists of overlapping complete graphs, representing households, workplaces, school…

Physics and Society · Physics 2023-08-25 Ágnes Backhausz , György J. Székely

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Inferring how an epidemic will progress and what actions to take when presented with limited information is of critical importance for epidemiologists and health professionals. In real world settings, epidemiology data can be scarce or…

Computation · Statistics 2022-11-02 Georgios Efstathiadis

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

Assume one has the capability of determining whether a node in a network is infectious or not by probing them. Then problem of optimizing sentinel surveillance in networks is to identify the nodes to probe such that an emerging disease…

Populations and Evolution · Quantitative Biology 2018-08-17 Petter Holme

Infectious disease remains, despite centuries of work to control and mitigate its effects, a major problem facing humanity. This paper reviews the mathematical modelling of infectious disease epidemics on networks, starting from the…

Popular Physics · Physics 2015-06-03 Thomas House

In the study of infectious diseases on networks, researchers calculate epidemic thresholds to help forecast whether a disease will eventually infect a large fraction of a population. Because network structure typically changes in time,…

Social and Information Networks · Computer Science 2021-08-11 Qinyi Chen , Mason A. Porter

The abrupt outbreak and transmission of biological diseases has always been a long-time concern of humankind. For long, mathematical modeling has served as a simple and yet efficient tool to investigate, predict, and control spread of…

Populations and Evolution · Quantitative Biology 2020-04-10 Aresh Dadlani , Richard O. Afolabi , Hyoyoung Jung , Khosrow Sohraby , Kiseon Kim