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In the context of the recent COVID-19 outbreak, quarantine has been used to "flatten the curve" and slow the spread of the disease. In this paper, we show that this is not the only benefit of quarantine for the mitigation of an SIR epidemic…

Social and Information Networks · Computer Science 2021-02-23 Jessica Hoffmann , Matt Jordan , Constantine Caramanis

We investigate mechanisms of the typically observed recoverable prevalence in epidemic spreading. Assuming the time-independent connectivity correlations, we analyze the dynamics of spreading on linearly growing scale-free (SF) networks,…

Statistical Mechanics · Physics 2007-05-23 Yukio Hayashi

We consider a mathematical model describing the propagation of an epidemic on a geographical network. The size of the outbreak is governed by the initial growth rate of the disease given by the maximal eigenvalue of the epidemic matrix…

Physics and Society · Physics 2024-06-06 Mohamad Badaoui , Jean-Guy Caputo , Gustavo Cruz-Pacheco , Arnaud Knippel

How to allocate vaccines over heterogeneous individuals is one of the important policy decisions in pandemic times. This paper develops a procedure to estimate an individualized vaccine allocation policy under limited supply, exploiting…

Econometrics · Economics 2021-10-25 Toru Kitagawa , Guanyi Wang

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard…

Physics and Society · Physics 2020-06-22 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Claudio Castellano

Vaccination is crucial for the control of epidemics. Yet it is a social dilemma since non-vaccinators can benefit from the herd immunity created by the vaccinators. Thus the optimum vaccination level is not reached via voluntary vaccination…

Populations and Evolution · Quantitative Biology 2019-02-06 Yuting Wei , Yaosen Lin , Bin Wu

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

Systems and Control · Computer Science 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

Recently, motivated by the pioneer works that reveal the small-world effect and scale-free property of various real-life networks, many scientists devote themselves into studying complex networks. One of the ultimate goals is to understand…

Physics and Society · Physics 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang

Despite achieving great success, graph neural networks (GNNs) are vulnerable to adversarial attacks. Existing defenses focus on developing adversarial training or model modification. In this paper, we propose and formulate graph adversarial…

Machine Learning · Computer Science 2023-09-26 Shuchang Tao , Huawei Shen , Qi Cao , Yunfan Wu , Liang Hou , Xueqi Cheng

It is commonly believed that real networks are scale-free and fraction of nodes $P(k)$ with degree $k$ satisfies the power law $P(k) \propto k^{-\gamma} \text{ for } k > k_{min} > 0$. Preferential attachment is the mechanism that has been…

Data Structures and Algorithms · Computer Science 2023-06-22 Raheel Anwar , Muhammad Irfan Yousuf , Muhammad Abid

It is generally accepted that scale-free networks is prone to epidemic spreading allowing the onset of large epidemics whatever the spreading rate of the infection. In the paper, we show that disease propagation may be suppressed in…

Other Condensed Matter · Physics 2008-03-05 Zhongzhi Zhang , Shuigeng Zhou , Tao Zou , Jihong Guan

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

The outbreak of a pandemic, such as COVID-19, causes major health crises worldwide. Typical measures to contain the rapid spread usually include effective vaccination and strict interventions (Nature Human Behaviour, 2021). Motivated by…

Social and Information Networks · Computer Science 2025-03-31 Gargi Bakshi , Sujoy Bhore , Suraj Shetiya

The diffusion of information, norms, and practices across a social network can be initiated by compelling a small number of seed individuals to adopt first. Strategies proposed in previous work either assume full network information or…

Physics and Society · Physics 2022-02-09 Jiamin Ou , Vincent Buskens , Arnout Van De Rijt , Debabrata Panja

Vaccination has been proven to be the most effective method to prevent infectious diseases. However, in many low and middle-income countries with geographically dispersed and nomadic populations, last-mile vaccine delivery can be extremely…

Applications · Statistics 2021-04-30 Yuwen Yang , Jayant Rajgopal

We study the task of selecting $k$ nodes, in a social network of size $n$, to seed a diffusion with maximum expected spread size, under the independent cascade model with cascade probability $p$. Most of the previous work on this problem…

Social and Information Networks · Computer Science 2022-05-24 Dean Eckles , Hossein Esfandiari , Elchanan Mossel , M. Amin Rahimian

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

When modelling epidemics or spread of information on online social networks, it is crucial to include not just the density of the connections through which infections can be transmitted, but also the variability of susceptibility. Different…

Physics and Society · Physics 2020-02-18 Ágnes Backhausz , Edit Bognár

It is a mainstream idea that scale-free network would be fragile under the selective attacks. Internet is a typical scale-free network in the real world, but it never collapses under the selective attacks of computer viruses and hackers.…

Physics and Society · Physics 2012-10-09 Bojin Zheng , Dan Huang , Deyi Li , Guisheng Chen , Wenfei Lan
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