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Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

Data Structures and Algorithms · Computer Science 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

Epidemic modeling in complex networks has become one of the latest topics in recent times. The Susceptible-Infectious-Recovered (SIR) model and its variants are often used for epidemic modeling. One important issue in epidemic modeling is…

Social and Information Networks · Computer Science 2021-06-28 Aybike Simsek

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

Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact…

Dynamical Systems · Mathematics 2016-10-31 Ágnes Bodó , Gyula Y. Katona , Péter L. Simon

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type…

Populations and Evolution · Quantitative Biology 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

Networked SIR models have become essential workhorses in the modeling of epidemics, their inception, propagation and control. Here, and building on this venerable tradition, we report on the emergence of a remarkable self-organization of…

Statistical Mechanics · Physics 2025-05-16 Sara Najem , Leonid Klushin , Jihad Touma

When dealing with the dissemination of epidemics, one important question that can be asked is the location where the contamination began. In this paper, we analyze three spreading schemes and propose and validate an effective methodology…

Physics and Society · Physics 2016-07-27 Cesar Henrique Comin , Luciano da Fontoura Costa

We consider the distributed $H_\infty$ estimation problem with additional requirement of resilience to biasing attacks. An attack scenario is considered where an adversary misappropriates some of the observer nodes and injects biasing…

Systems and Control · Computer Science 2018-02-27 V. Ugrinovskii

We consider a single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number $\mathcal{R}(t)$. We discuss the estimation of the underlying SIR parameters with a…

Populations and Evolution · Quantitative Biology 2020-04-16 Ariel Cintrón-Arias , Carlos Castillo-Chávez , Luís M. A. Bettencourt , Alun L. Lloyd , H. T. Banks

In this paper, we present a susceptible-infected-recovered (SIR) model with individuals wearing facial masks and individuals who do not. The disease transmission rates, the recovering rates and the fraction of individuals who wear masks are…

Physics and Society · Physics 2021-06-01 Duan-Shin Lee , Miao Zhu

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

Populations and Evolution · Quantitative Biology 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Algorithms for identifying the infection states of nodes in a network are crucial for understanding and containing infections. Often, however, only a relatively small set of nodes have a known infection state. Moreover, the length of time…

Social and Information Networks · Computer Science 2014-02-04 Yeon-sup Lim , Bruno Ribeiro , Don Towsley

It is a longstanding debate on the absence of threshold for susceptible-infected-susceptible (SIS) model on networks with finite second order moment of degree distribution. The eigenvector localization of the adjacency matrix for a network…

Physics and Society · Physics 2020-05-20 Zong-Wen Wei , Bing-Hong Wang

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

The SIS (susceptible-infected-susceptible) epidemic model on an arbitrary network, without making approximations, is a $2^n$-state Markov chain with a unique absorbing state (the all-healthy state). This makes analysis of the SIS model and,…

Social and Information Networks · Computer Science 2019-01-21 Navid Azizan Ruhi , Christos Thrampoulidis , Babak Hassibi

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

Physics and Society · Physics 2016-11-09 Helena Sofia Rodrigues

We study several bayesian inference problems for irreversible stochastic epidemic models on networks from a statistical physics viewpoint. We derive equations which allow to accurately compute the posterior distribution of the time…

Quantitative Methods · Quantitative Biology 2014-03-28 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Alejandro Lage-Castellanos , Riccardo Zecchina

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

Populations and Evolution · Quantitative Biology 2020-12-24 Elisa Franco

This paper investigates the problem of utilizing network topology and partial timestamps to detect the information source in a network. The problem incurs prohibitive cost under canonical maximum likelihood estimation (MLE) of the source…

Social and Information Networks · Computer Science 2019-06-02 Xuecheng Liu , Luoyi Fu , Bo Jiang , Xiaojun Lin , Xinbing Wang
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