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We introduce an immunization method where the percentage of required vaccinations for immunity are close to the optimal value of a targeted immunization scheme of highest degree nodes. Our strategy retains the advantage of being purely…

Physics and Society · Physics 2009-11-13 Lazaros K. Gallos , Fredrik Liljeros , Panos Argyrakis , Armin Bunde , Shlomo Havlin

We present an effective immunization strategy for computer networks and populations with broad and, in particular, scale-free degree distributions. The proposed strategy, acquaintance immunization, calls for the immunization of random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Reuven Cohen , Shlomo Havlin , Daniel ben-Avraham

We propose a new method to immunize populations or computer networks against epidemics which is more efficient than any method considered before. The novelty of our method resides in the way of determining the immunization targets. First we…

Physics and Society · Physics 2015-06-03 Christian M. Schneider , Tamara Mihaljev , Hans J. Herrmann

Spreading processes represent a very efficient tool to investigate the structural properties of networks and the relative importance of their constituents, and have been widely used to this aim in static networks. Here we consider simple…

Physics and Society · Physics 2013-09-11 Michele Starnini , Anna Machens , Ciro Cattuto , Alain Barrat , Romualdo Pastor Satorras

In this study, an efficient method to immunize modular networks (i.e., networks with community structure) is proposed. The immunization of networks aims at fragmenting networks into small parts with a small number of removed nodes. Its…

Populations and Evolution · Quantitative Biology 2010-03-24 Naoki Masuda

In many real-world complex systems, individuals have many kind of interactions among them, suggesting that it is necessary to consider a layered structure framework to model systems such as social interactions. This structure can be…

Physics and Society · Physics 2015-02-06 C. Buono , L. A. Braunstein

Complex networks such as the sexual partnership web or the Internet often show a high degree of redundancy and heterogeneity in their connectivity properties. This peculiar connectivity provides an ideal environment for the spreading of…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogeneous contact network of interacting susceptible, recovered,…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou

Optimal strategies for epidemic containment are focused on dismantling the contact network through effective immunization with minimal costs. However, network fragmentation is seldom accessible in practice and may present extreme side…

Physics and Society · Physics 2020-02-26 Guilherme S. Costa , Silvio C. Ferreira

We investigate the spread of diseases, computer viruses or information on complex networks and also immunization strategies to prevent or control the spread. When an entire population cannot be immunized and the effect of immunization is…

Physics and Society · Physics 2011-04-14 Shinji Tanimoto

Epidemic spreading on complex networks depends on the topological structure as well as on the dynamical properties of the infection itself. Generally speaking, highly connected individuals play the role of hubs and are crucial to channel…

Populations and Evolution · Quantitative Biology 2017-04-05 Eleonora Alfinito , Matteo Beccaria , Alberto Fachechi , Guido Macorini

Network-based intervention strategies can be effective and cost-efficient approaches to curtailing harmful contagions in myriad settings. As studied, these strategies are often impractical to implement, as they typically assume complete…

Physics and Society · Physics 2020-09-09 Samuel F. Rosenblatt , Jeffrey A. Smith , G. Robin Gauthier , Laurent Hébert-Dufresne

In this paper, we propose two novel immunization strategies, i.e., combined immunization and duplex immunization, for SIS model in directed scale-free networks, and obtain the epidemic thresholds for them with linear and nonlinear…

Physics and Society · Physics 2018-06-05 Wei Shi , Junbo Jia , Pan Yang , Xinchu Fu

The way diseases spread through schools, epidemics through countries, and viruses through the Internet is crucial in determining their risk. Although each of these threats has its own characteristics, its underlying network determines the…

Physics and Society · Physics 2011-12-20 Christian M. Schneider , Tamara Mihaljev , Shlomo Havlin , Hans J. Herrmann

Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

Social and Information Networks · Computer Science 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

Most communication networks are complex. In this paper, we address one of the fundamental problems we are facing nowadays, namely, how we can efficiently protect these networks. To this end, we study an immunization strategy and found that…

Physics and Society · Physics 2007-05-23 Jesus Gomez-Gardenes , Pablo Echenique , Yamir Moreno

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

We consider the problem of distributing a vaccine for immunizing a scale-free network against a given virus or worm. We introduce a new method, based on vaccine dissemination, that seems to reflect more accurately what is expected to occur…

Networking and Internet Architecture · Computer Science 2007-05-23 Alexandre O. Stauffer , Valmir C. Barbosa

Several recent studies have tackled the issue of optimal network immunization by providing efficient criteria to identify key nodes to be removed in order to break apart a network, thus preventing the occurrence of extensive epidemic…

Physics and Society · Physics 2018-02-22 Giovanni Strona , Claudio Castellano

Network-based interventions against epidemic spread are most powerful when the full network structure is known. However, in practice, resource constraints require decisions to be made based on partial network information. We investigated…

Applications · Statistics 2019-03-19 Yingrui Yang , Ashley McKhann , Sixing Chen , Guy Harling , Jukka-Pekka Onnela
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