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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…

统计理论 · 数学 2018-06-15 Justin Khim , Po-Ling Loh

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

社会与信息网络 · 计算机科学 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

Epidemics-inspired techniques have received huge attention in recent years from the distributed systems and networking communities. These algorithms and protocols rely on probabilistic message replication and redundancy to ensure reliable…

网络与互联网体系结构 · 计算机科学 2007-11-20 Salvatore Scellato , Cecilia Mascolo , Mirco Musolesi , Vito Latora

We consider the problem of identifying the source of an epidemic, spreading through a network, from a complete observation of the infected nodes in a snapshot of the network. Previous work on the problem has often employed geometric,…

社会与信息网络 · 计算机科学 2019-06-13 S. Jalil Kazemitabar , Arash A. Amini

We consider an infectious disease spreading along the edges of a network which may have significant clustering. The individuals in the population have heterogeneous infectiousness and/or susceptibility. We define the out-transmissibility of…

种群与进化 · 定量生物学 2008-05-01 Joel C. Miller

The initial phase of an epidemic is often characterized by an exponential increase in the number of infected individuals. In this paper, we predict the exponential spreading rate of an epidemic on a complex network. We first find an…

物理与社会 · 物理学 2025-04-21 Samuel Cure , Florian G. Pflug , Simone Pigolotti

Predicting links in complex networks has been one of the essential topics within the realm of data mining and science discovery over the past few years. This problem remains an attempt to identify future, deleted, and redundant links using…

社会与信息网络 · 计算机科学 2021-05-21 Kamal Berahmand , Elahe Nasiri , Saman Forouzandeh , Yuefeng Li

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…

物理与社会 · 物理学 2024-03-07 Franco Bagnoli , Emanuele Bellini , Emanuele Massaro

In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

物理与社会 · 物理学 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

If a piece of information is released from a media site, can it spread, in 1 month, to a million web pages? This influence estimation problem is very challenging since both the time-sensitive nature of the problem and the issue of…

社会与信息网络 · 计算机科学 2013-11-18 Nan Du , Le Song , Manuel Gomez Rodriguez , Hongyuan Zha

Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including…

物理与社会 · 物理学 2020-04-13 Naoki Masuda , Mason A. Porter , Renaud Lambiotte

Spreading processes have been largely studied in the literature, both analytically and by means of large-scale numerical simulations. These processes mainly include the propagation of diseases, rumors and information on top of a given…

物理与社会 · 物理学 2019-05-10 Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates to what extent they limit their social interactions, if at…

概率论 · 数学 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

物理与社会 · 物理学 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

A stochastic SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a social network is analysed. The underlying social network is described by an Erd\H{o}s-R\'{e}nyi random graph but, during the course of the epidemic,…

概率论 · 数学 2020-08-17 Frank Ball , Tom Britton

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

社会与信息网络 · 计算机科学 2020-07-30 Anirban Dasgupta , Srijan Sengupta

The asynchronous rumor algorithm spreading propagates a piece of information, the so-called rumor, in a network. Starting with a single informed node, each node is associated with an exponential time clock with rate $1$ and calls a random…

数据结构与算法 · 计算机科学 2020-05-19 Ali Pourmiri , Bernard Mans

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…

物理与社会 · 物理学 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

Epidemics in large complete networks is well established. In contrast, we consider epidemics in non-complete networks. We establish the fluid limit macroscopic dynamics of a multi-virus spread over a multipartite network as the number of…

社会与信息网络 · 计算机科学 2013-06-27 Augusto Santos , José M. F. Moura , João Xavier

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

最优化与控制 · 数学 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu