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Models of spread processes over non-trivial networks are commonly motivated by modeling and analysis of biological networks, computer networks, and human contact networks. However, identification of such models has not yet been explored in…

最优化与控制 · 数学 2020-01-27 Philip E. Pare , Ji Liu , Carolyn L. Beck , Barret E. Kirwan , Tamer Basar

With the rapid advancement of information technology, the complexity of applications continues to increase, and the cybersecurity challenges we face are also escalating. This paper aims to investigate the methods and practices of system…

密码学与安全 · 计算机科学 2026-02-02 Chunyi Zhang , Jin Zeng , Xiaoqi Li

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped…

概率论 · 数学 2018-05-23 Sam Moore , Peter Mörters , Tim Rogers

Social networking websites allow users to create and share content. Big information cascades of post resharing can form as users of these sites reshare others' posts with their friends and followers. One of the central challenges in…

社会与信息网络 · 计算机科学 2016-01-28 Qingyuan Zhao , Murat A. Erdogdu , Hera Y. He , Anand Rajaraman , Jure Leskovec

Many epidemic processes in networks spread by stochastic contacts among their connected vertices. There are two limiting cases widely analyzed in the physics literature, the so-called contact process (CP) where the contagion is expanded at…

计算物理 · 物理学 2010-02-19 S. Gomez , A. Arenas , J. Borge-Holthoefer , S. Meloni , Y. Moreno

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…

种群与进化 · 定量生物学 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

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

Diffusion models have become increasingly popular for generative modeling due to their ability to generate high-quality samples. This has unlocked exciting new possibilities for solving inverse problems, especially in image restoration and…

This chapter surveys univariate and multivariate methods for infectious disease outbreak detection. The setting considered is a prospective one: data arrives sequentially as part of the surveillance systems maintained by public health…

统计方法学 · 统计学 2017-11-27 Benjamin Allévius , Michael Höhle

The question addressed here is the long time evolution of the solutions to a class of one-dimensional reaction-diffusion equations, in which the diffusion is given by an integral operator. The underlying motivation, discussed in the first…

偏微分方程分析 · 数学 2024-01-02 Jean-Michel Roquejoffre

The susceptible-exposed-infectious-susceptible (SEIS) model is well-known in mathematical epidemiology as a model of infection in which there is a latent period between the moment of infection and the onset of infectiousness. The…

概率论 · 数学 2015-10-06 Eric Foxall

Detecting spreading outbreaks in social networks with sensors is of great significance in applications. Inspired by the formation mechanism of human's physical sensations to external stimuli, we propose a new method to detect the influence…

物理与社会 · 物理学 2017-02-08 Sen Pei , Shaoting Tang , Zhiming Zheng

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

种群与进化 · 定量生物学 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

We present a computational modeling framework for data-driven simulations and analysis of infectious disease spread in large populations. For the purpose of efficient simulations, we devise a parallel solution algorithm targeting…

种群与进化 · 定量生物学 2018-02-19 Pavol Bauer , Stefan Engblom , Stefan Widgren

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

种群与进化 · 定量生物学 2010-11-25 Christel Kamp

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

种群与进化 · 定量生物学 2019-08-16 Tom Britton

Self-exciting point processes describe the manner in which every event facilitates the occurrence of succeeding events. By increasing excitability, the event occurrences start to exhibit bursts even in the absence of external stimuli. We…

数据分析、统计与概率 · 物理学 2014-05-01 Tomokatsu Onaga , Shigeru Shinomoto

The challenges posed by epidemics and pandemics are immense, especially if the causes are novel. This article introduces a versatile open-source simulation framework designed to model intricate dynamics of infectious diseases across diverse…

多智能体系统 · 计算机科学 2023-11-17 Zenin Easa Panthakkalakath , Neeraj , Jimson Mathew

Propagation of contagion in networks depends on the graph topology. This paper is concerned with studying the time-asymptotic behavior of the extended contact processes on static, undirected, finite-size networks. This is a contact process…

物理与社会 · 物理学 2015-07-03 June Zhang , José M. F. Moura

The SIR model is a classical model characterizing the spreading of infectious diseases. This model describes the time-dependent quantity changes among Susceptible, Infectious, and Recovered groups. By introducing space-depend effects such…

定量方法 · 定量生物学 2024-09-18 Md Abu Talha , Yongjia Xu , Shan Zhao , Weihua Geng