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The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

最优化与控制 · 数学 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

In this paper we conduct a simulation study of the spread of an epidemic like COVID-19 with temporary immunity on finite spatial and non-spatial network models. In particular, we assume that an epidemic spreads stochastically on a…

物理与社会 · 物理学 2021-12-16 Tim Hulshof , Joost Jorritsma , Júlia Komjáthy

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

社会与信息网络 · 计算机科学 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

Wireless Sensor Networks (WSNs) have become widely used in various fields like environmental monitoring, smart agriculture, and health care. However, their extensive usage also introduces significant vulnerabilities to cyber viruses.…

网络与互联网体系结构 · 计算机科学 2024-10-28 Yanqing Wu , Cunlai Pu , Gongxuan Zhang , Lunbo Li , Yongxiang Xia , Chengyi Xia

Spreading phenomena are ubiquitous in nature and society. For example, disease, rumor, and information spread over underlying social and information networks. It is well known that there is no threshold for epidemic models on scale-free…

物理与社会 · 物理学 2016-03-16 Satoru Morita

Activity or spin patterns on random scale-free network are studied by mean field analysis and computer simulations. These activity patterns evolve in time according to local majority-rule dynamics which is implemented using (i) parallel or…

无序系统与神经网络 · 物理学 2007-05-23 Haijun Zhou , Reinhard Lipowsky

A model for epidemic spreading on rewiring networks is introduced and analyzed for the case of scale free steady state networks. It is found that contrary to what one would have naively expected, the rewiring process typically tends to…

物理与社会 · 物理学 2013-05-29 Yonathan Schwarzkopf , Attila Rakos , David Mukamel

In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so…

In this paper, we aim to understand the transient dynamics of a susceptible-infected (SI) epidemic spreading process on a large network. The SI model has been largely overlooked in the literature, while it is naturally a better fit for…

社会与信息网络 · 计算机科学 2019-05-21 Chul-Ho Lee , Srinivas Tenneti , Do Young Eun

We present a finite-size scaling theory of a contact process with permanent immunity on uncorrelated scale-free networks. We model an epidemic outbreak by an analog of the susceptible-infected-removed model where an infected individual…

Many real networks present a bounded scale-free behavior with a connectivity cut-off due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cut-offs.…

统计力学 · 物理学 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

Synchronization problems in complex networks are very often studied by researchers due to its many applications to various fields such as neurobiology, e-commerce and completion of tasks. In particular, Scale Free networks with degree…

物理与社会 · 物理学 2015-07-07 Débora Torres , Matías A. Di Muro , Cristian E. La Rocca , Lidia A. Braunstein

We study the influence of global, local and community-level risk perception on the extinction probability of a disease in several models of social networks. In particular, we study the infection progression as a…

物理与社会 · 物理学 2012-12-05 Franco Bagnoli , Daniel Borkmann , Andrea Guazzini , Emanuele Massaro , Stefan Rudolph

Typically, contagion strength is modeled by a transmission rate $\lambda$, whereby all nodes in a network are treated uniformly in a mean-field approximation. However, local agents react differently to the same contagion based on their…

物理与社会 · 物理学 2014-01-28 Pouya Manshour , Afshin Montakhab

We consider a standard \textit{susceptible-infected-susceptible} (SIS) model to study behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual…

物理与社会 · 物理学 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Yong Chen , Ying-Hai Wang

We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof that there is a transition between a phase where for all…

概率论 · 数学 2015-12-03 Emmanuel Jacob , Peter Mörters

We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

统计力学 · 物理学 2015-05-13 R. Juhász , G. Ódor

Incorporating dynamic contact networks and delayed awareness into a contagion model with memory, we study the spreading patterns of infectious diseases in connected populations. It is found that the spread of an infectious disease is not…

物理与社会 · 物理学 2015-05-20 Li-Xin Zhong , Tian Qiu , Fei Ren , Ping-Ping Li , Bi-Hui Chen

Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

概率论 · 数学 2012-02-23 Emilie Coupechoux , Marc Lelarge

We study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the order-parameter critical exponent derived by the mean field…

统计力学 · 物理学 2007-05-23 Deok-Sun Lee