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In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

物理与社会 · 物理学 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

Adaptive social networks, in which nodes and network structure co-evolve, are often described using a mean-field system of equations for the density of node and link types. These equations constitute an open system due to dependence on…

统计力学 · 物理学 2015-06-15 Maxim S. Shkarayev , Leah B. Shaw

In this paper, we analyze dynamic switching networks, wherein the networks switch arbitrarily among a set of topologies. For this class of dynamic networks, we derive an epidemic threshold, considering the SIS epidemic model. First, an…

社会与信息网络 · 计算机科学 2015-08-03 Mohammad Reza Sanatkar , Warren N. White , Balasubramaniam Natarajan , Caterina Scoglio , Karren A. Garrett

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

适应与自组织系统 · 物理学 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

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

Human behaviour strongly influences the spread of infectious diseases: understanding the interplay between epidemic dynamics and adaptive behaviours is essential to improve response strategies to epidemics, with the goal of containing the…

物理与社会 · 物理学 2024-08-21 Marco Mancastroppa , Alessandro Vezzani , Vittoria Colizza , Raffaella Burioni

One of the famous results of network science states that networks with heterogeneous connectivity are more susceptible to epidemic spreading than their more homogeneous counterparts. In particular, in networks of identical nodes it has been…

物理与社会 · 物理学 2015-08-05 Hui Yang , Ming Tang , Thilo Gross

Infectious diseases that incorporate pre-symptomatic transmission are challenging to monitor, model, predict and contain. We address this scenario by studying a variant of a stochastic susceptible-exposed-infected-recovered model on…

物理与社会 · 物理学 2021-05-07 Bo Li , David Saad

The epidemic threshold is probably the most studied quantity in the modelling of epidemics on networks. For a large class of networks and dynamics the epidemic threshold is well studied and understood. However, it is less so for clustered…

物理与社会 · 物理学 2018-06-19 Rosanna C. Barnard , Luc Berthouze , Péter L. Simon , István Z. Kiss

We present a degree-based theoretical framework to study the susceptible-infected-susceptible (SIS) dynamics on time-varying (rewired) configuration model networks. Using this framework, we provide a detailed analysis of the stationary…

物理与社会 · 物理学 2018-04-16 Guillaume St-Onge , Jean-Gabriel Young , Edward Laurence , Charles Murphy , Louis J. Dubé

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

社会与信息网络 · 计算机科学 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

We develop a feedback control method for networked epidemic spreading processes. In contrast to most prior works which consider mean field, open-loop control schemes, the present work develops a novel framework for feedback control of…

最优化与控制 · 数学 2017-03-23 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

We study the standard SIS model of epidemic spreading on networks where individuals have a fluctuating number of connections around a preferred degree $\kappa $. Using very simple rules for forming such preferred degree networks, we find…

统计力学 · 物理学 2012-12-05 Shivakumar Jolad , Wenjia Liu , B. Schmittmann , R. K. P. Zia

Current understanding of the critical outbreak condition on temporal networks relies on approximations (time scale separation, discretization) that may bias the results. We propose a theoretical framework to compute the epidemic threshold…

物理与社会 · 物理学 2018-02-08 Eugenio Valdano , Michele Re Fiorentin , Chiara Poletto , Vittoria Colizza

Network epidemiology's most important assumption is that the contact structure over which infectious diseases propagate can be represented as a static network. However, contacts are highly dynamic, changing at many time scales. In this…

物理与社会 · 物理学 2015-06-12 Petter Holme

Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring…

社会与信息网络 · 计算机科学 2015-06-23 Mostafa Salehi , Payam Siyari , Matteo Magnani , Danilo Montesi

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

In this paper we present a model describing Susceptible-Infected-Susceptible (SIS) type epidemics spreading on a dynamic contact network with random link activation and deletion where link ac- tivation can be locally constrained. We use and…

动力系统 · 数学 2015-05-30 Michael Taylor , Timothy J. Taylor , Istvan Z. Kiss

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

系统与控制 · 电气工程与系统科学 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang