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One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

The study of networks has emerged in diverse disciplines as a means of analyzing complex relationship data. Beyond graph analysis tasks like graph query processing, link analysis, influence propagation, there has recently been some work in…

Social and Information Networks · Computer Science 2017-11-15 Supriya Pandhre , Manish Gupta , Vineeth N Balasubramanian

In this paper, we study the trajectory of a classic SIR epidemic on a family of dynamic random graphs of fixed size, whose set of edges continuously evolves over time. We set general infection and recovery times, and start the epidemic from…

Probability · Mathematics 2025-01-17 Marta Milewska , Remco van der Hofstad , Bert Zwart

Locating source of diffusion in networks is crucial for controlling and preventing epidemic risks. It has been studied under various probabilistic models. In this paper, we study source location from a deterministic point of view by…

Discrete Mathematics · Computer Science 2014-04-21 Xujin Chen , Xiaodong Hu , Changjun Wang

The last few years have seen remarkably fast progress in the understanding of statistics and epidemic dynamics of various clustered networks. This paper considers a class of networks based around a concept (the locale) that allows…

Populations and Evolution · Quantitative Biology 2012-10-03 Thomas House

We model information dissemination as a susceptible-infected epidemic process and formulate a problem to jointly optimize seeds for the epidemic and time varying resource allocation over the period of a fixed duration campaign running on a…

Social and Information Networks · Computer Science 2017-06-29 Kundan Kandhway , Joy Kuri

We consider the influence maximization problem over a temporal graph, where there is a single fixed source. We deviate from the standard model of influence maximization, where the goal is to choose the set of most influential vertices.…

Computational Complexity · Computer Science 2023-03-24 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas

Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

Social and Information Networks · Computer Science 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

Physics and Society · Physics 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

Most models of epidemic spread, including many designed specifically for COVID-19, implicitly assume mass-action contact patterns and undirected contact networks, meaning that the individuals most likely to spread the disease are also the…

Network-based models of epidemic spread have become increasingly popular in recent decades. Despite a rich foundation of such models, few low-dimensional systems for modeling SIS-type diseases have been proposed that manage to capture the…

Dynamical Systems · Mathematics 2021-01-01 Carl Corcoran , Alan Hastings

The problem of identifying important players in a given network is of pivotal importance for viral marketing, public health management, network security and various other fields of social network analysis. In this work we find the most…

Discrete Mathematics · Computer Science 2017-11-03 Juvaria Tariq , Muhammad Ahmad , Imdadullah Khan , Mudassir Shabbir

We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic criterion and examine different vaccination/containment…

Physics and Society · Physics 2020-09-25 F. Bustamante-Castaneda , J. -G. Caputo , G. Cruz-Pacheco , A. Knippel , F. Mouatamide

We study the susceptible-infected-susceptible (SIS) model on directed complex networks within the quenched mean-field approximation. Combining results from random matrix theory with an analytic approach to the distribution of fixed-point…

Physics and Society · Physics 2025-12-12 Vinícius B. Müller , Fernando L. Metz

The ongoing COVID-19 pandemic is the first epidemic in human history in which digital contact-tracing has been deployed at a global scale. Tracking and quarantining all the contacts of individuals who test positive to a virus can help…

Physics and Society · Physics 2021-02-26 Aleix Bassolas , Andrea Santoro , Sandro Sousa , Silvia Rognone , Vincenzo Nicosia

Identifying super-spreaders in epidemics is important to suppress the spreading of disease especially when the medical resource is limited.In the modern society, the information on epidemics transmits swiftly through various communication…

Physics and Society · Physics 2021-08-26 Qi Zeng , Ying Liu , Ming Tang , Jie Gong

In many cases, tainted information in a computer network can spread in a way similar to an epidemics in the human world. On the other had, information processing paths are often redundant, so a single infection occurrence can be easily…

Physics and Society · Physics 2024-03-07 Franco Bagnoli , Emanuele Bellini , Emanuele Massaro

In epidemic modeling, the term infection strength indicates the ratio of infection rate and cure rate. If the infection strength is higher than a certain threshold -- which we define as the epidemic threshold - then the epidemic spreads…

Physics and Society · Physics 2012-12-19 Faryad Darabi Sahneh , Caterina Scoglio , Fahmida N. Chowdhury

The COVID-19 infection cases have surged globally, causing devastations to both the society and economy. A key factor contributing to the sustained spreading is the presence of a large number of asymptomatic or hidden spreaders, who mix…

Physics and Society · Physics 2021-03-18 Shuhong Huang , Jiachen Sun , Ling Feng , Jiarong Xie , Dashun Wang , Yanqing Hu

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

Physics and Society · Physics 2013-07-23 Wojciech Ganczarek