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The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

Optimization and Control · Mathematics 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

The decision of whether or not to vaccinate is a complex one. It involves the contribution both to a social good -- herd immunity -- and to one's own well being. It is informed by social influence, personal experience, education, and mass…

Populations and Evolution · Quantitative Biology 2022-02-15 Soya Miyoshi , Marko Jusup , Petter Holme

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

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Infection can spread easily on networks with heterogeneous degree distribution. Here, we considered targeted immunization on such networks, wherein a fraction of individuals with the highest connectivity are immunized. To quantify the…

Physics and Society · Physics 2021-11-05 Satoru Morita

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

We study the percolation properties of graph partitioning on random regular graphs with N vertices of degree $k$. Optimal graph partitioning is directly related to optimal attack and immunization of complex networks. We find that for any…

Statistical Mechanics · Physics 2007-10-07 Gerald Paul , Reuven Cohen , Sameet Sreenivasan , Shlomo Havlin , H. Eugene Stanley

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…

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

The spreading of infectious diseases with and without immunization of individuals can be modeled by stochastic processes that exhibit a transition between an active phase of epidemic spreading and an absorbing phase, where the disease dies…

Statistical Mechanics · Physics 2009-11-10 Stephan M. Dammer , Haye Hinrichsen

Background: Network-based interventions are most powerful against epidemics when the full network structure is known. However, resource constraints often require decisions based on partial network data. We investigated how the effectiveness…

Populations and Evolution · Quantitative Biology 2018-03-30 Yingrui Yang , Ashley McKhann , Guy Harling , Jukka-Pekka Onnela

If we can lower the number of people needed to vaccinate for a community to be immune against contagious diseases, we can save resources and life. A key to reach such a lower threshold of immunization is to find and vaccinate people who,…

Populations and Evolution · Quantitative Biology 2012-10-10 Sungmin Lee , Luis E. C. Rocha , Fredrik Liljeros , Petter Holme

The effectiveness of vaccination highly depends on the choice of individuals to vaccinate, even if the same number of individuals are vaccinated. Vaccinating individuals with high centrality measures such as betweenness centrality (BC) and…

Physics and Society · Physics 2021-12-30 Bukyoung Jhun

As infectious disease outbreaks emerge, public health agencies often enact vaccination and social distancing measures to slow transmission. Their success depends on not only strategies and resources, but also public adherence. Individual…

Physics and Society · Physics 2018-08-20 José L. Herrera , Lauren Ancel Meyers

The success of a vaccination program is crucially dependent on its adoption by a critical fraction of the population, as the resulting herd immunity prevents future outbreaks of an epidemic. However, the effectiveness of a campaign can…

Physics and Society · Physics 2019-07-02 Anupama Sharma , Shakti N. Menon , V. Sasidevan , Sitabhra Sinha

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

Probability · Mathematics 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

We consider optimal attacks or immunization schemes on different models of random graphs. We derive bounds for the minimum number of nodes needed to be removed from a network such that all remaining components are fragments of negligible…

Physics and Society · Physics 2019-12-10 Nicole Balashov , Reuven Cohen , Avieli Haber , Michael Krivelevich , Simi Haber

The problem of identifying important players in a given network is of pivotal importance for viral marketing, public health management, network security and various other fields of social network analysis. In this work we find the most…

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

In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

Physics and Society · Physics 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

Optimization of vaccine allocations among different segments of a heterogeneous population is important for enhancing the effectiveness of vaccination campaigns in reducing the burden of epidemics. Intuitively, it would seem that…

Quantitative Methods · Quantitative Biology 2022-12-01 Nir Gavish , Guy Katriel