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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…

Physics and Society · Physics 2018-02-08 Eugenio Valdano , Michele Re Fiorentin , Chiara Poletto , Vittoria Colizza

Recent work on the internet, social networks, and the power grid has addressed the resilience of these networks to either random or targeted deletion of network nodes. Such deletions include, for example, the failure of internet routers or…

Statistical Mechanics · Physics 2009-10-31 D. S. Callaway , M. E. J. Newman , S. H. Strogatz , D. J. Watts

Epidemic modeling has been extensively used in the last years in the field of telecommunications and computer networks. We consider the popular Susceptible-Infected-Susceptible spreading model as the metric for information spreading. In…

Social and Information Networks · Computer Science 2013-12-31 Antonia Maria Masucci , Alonso Silva

Communication networks, power grids, and transportation networks are all examples of networks whose performance depends on reliable connectivity of their underlying network components even in the presence of usual network dynamics due to…

Physics and Society · Physics 2020-06-26 Arman Mohseni-Kabir , Mihir Pant , Don Towsley , Saikat Guha , Ananthram Swami

Background: Controlling global epidemics in the real world and accelerating information propagation in the artificial world are of great significance, which have activated an upsurge in the studies on networked spreading dynamics. Lots of…

Physics and Society · Physics 2012-04-03 Ai-Xiang Cui , Zimo Yang , Tao Zhou

Recent work on information survival in sensor and human P2P networks, try to study the datum preservation or the virus spreading in a network under the dynamical system approach. Some interesting solutions propose to use non-linear…

Physics and Society · Physics 2010-10-27 Carlos Rodríguez-Lucatero , Roberto Bernal-Jaquez

The Pearson correlation coefficient is commonly used for quantifying the global level of degree-degree association in complex networks. Here, we use a probabilistic representation of the underlying network structure for assessing the…

Physics and Society · Physics 2013-05-29 Mathias Raschke , Markus Schläpfer , Roberto Nibali

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…

Physics and Society · Physics 2025-04-21 Samuel Cure , Florian G. Pflug , Simone Pigolotti

Various approaches and measures from network analysis have been applied to granular and particulate networks to gain insights into their structural, transport, failure-propagation and other systems-level properties. In this article, we…

Soft Condensed Matter · Physics 2019-11-06 Silvia Nauer , Lucas Böttcher , Mason A. Porter

We consider the problem of robustness in large consensus networks that occur in many areas such as distributed optimization. Robustness, in this context, is the scaling of performance measures, e.g. H2-norm, as a function of network…

Systems and Control · Computer Science 2018-02-27 Tuhin Sarkar , Mardavij Roozbehani , Munther A. Dahleh

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

Physics and Society · Physics 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu

In the study of small and large networks it is customary to perform a simple random walk, where the random walker jumps from one node to one of its neighbours with uniform probability. The properties of this random walk are intimately…

Data Analysis, Statistics and Probability · Physics 2013-09-18 Jean-Charles Delvenne , Anne-Sophie Libert

Spreading dynamics of information and diseases are usually analyzed by using a unified framework and analogous models. In this paper, we propose a model to emphasize the essential difference between information spreading and epidemic…

Physics and Society · Physics 2015-05-28 Linyuan Lü , Duan-Bing Chen , Tao Zhou

The compartmental models used to study epidemic spreading often assume the same susceptibility for all individuals, and are therefore, agnostic about the effects that differences in susceptibility can have on epidemic spreading. Here we…

Physics and Society · Physics 2014-03-12 Daniel Smilkov , Cesar A. Hidalgo , Ljupco Kocarev

We study the traffic-driven epidemic spreading on scale-free networks with tunable degree distribution. The heterogeneity of networks is controlled by the exponent $\gamma$ of power-law degree distribution. It is found that the epidemic…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Bing-Hong Wang

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei Wang

A crucial challenge in network theory is the study of the robustness of a network after facing a sequence of failures. In this work, we propose a dynamical definition of network's robustness based on Information Theory, that considers…

We calculate epidemic thresholds and investigate the dynamics of a disease in a networked metapopulation model. To study the specific role of mobility levels and network geometry, we utilize the SIR-Network model and consider a range of…

Physics and Society · Physics 2023-08-07 Haridas K. Das , Lucas M. Stolerman

Studying network robustness for wireless sensor networks(WSNs) is an exciting topic of research as sensor nodes often fail due to hardware degradation, resource constraints, and environmental changes. The application of spectral graph…

Systems and Control · Computer Science 2021-04-02 Sateeshkrishna Dhuli , Chakravarthy Gopi , Yatindra Nath Singh

Our main goal is to examine the role of communities in epidemic spread in a random graph model. More precisely, we consider a random graph model which consists of overlapping complete graphs, representing households, workplaces, school…

Physics and Society · Physics 2023-08-25 Ágnes Backhausz , György J. Székely