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We study vaccine control for disease spread on an adaptive network modeling disease avoidance behavior. Control is implemented by adding Poisson distributed vaccination of susceptibles. We show that vaccine control is much more effective in…

Populations and Evolution · Quantitative Biology 2015-05-13 Leah B. Shaw , Ira B. Schwartz

A problem closely related to epidemiology, where a subgraph of 'infected' links is defined inside a larger network, is investigated. This subgraph is generated from the underlying network by a random variable, which decides whether a link…

Physics and Society · Physics 2016-04-07 M Cotacallapa , M O Hase

Cascade models are central to understanding, predicting, and controlling epidemic spreading and information propagation. Related optimization, including influence maximization, model parameter inference, or the development of vaccination…

Artificial Intelligence · Computer Science 2020-12-17 Rebekka Burkholz , John Quackenbush

We consider the problem of controlling the spread of harmful items in networks, such as the contagion proliferation of diseases or the diffusion of fake news. We assume the linear threshold model of diffusion where each node has a threshold…

Computational Complexity · Computer Science 2021-02-09 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Recently, hypergraphs have attracted considerable interest from the research community as a generalization of networks capable of encoding higher-order interactions, which commonly appear in both natural and social systems. Epidemic…

Physics and Society · Physics 2022-01-03 Bukyoung Jhun

In this paper we consider a simple virus infection spread model on a finite population of $n$ agents connected by some neighborhood structure. Given a graph $G$ on $n$ vertices, we begin with some fixed number of initial infected vertices.…

Probability · Mathematics 2013-03-21 Antar Bandyopadhyay , Farkhondeh Sajadi

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

Complex networks often have a modular structure, where a number of tightly- connected groups of nodes (modules) have relatively few interconnections. Modularity had been shown to have an important effect on the evolution and stability of…

Physics and Society · Physics 2014-04-21 Saray Shai , Dror Y. Kenett , Yoed N. Kenett , Miriam Faust , Simon Dobson , Shlomo Havlin

This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

Optimization and Control · Mathematics 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

Identifying the node spreading influence in networks is an important task to optimally use the network structure and ensure the more efficient spreading in information. In this paper, by taking into account the shortest distance between a…

Physics and Society · Physics 2015-06-22 Jian-Guo Liu , Zhuo-Ming Ren , Qiang Guo

We propose an efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks, wherein each node represents a subpopulation with any number of individuals and is assigned a curing rate that is proportional to…

Physics and Society · Physics 2013-02-15 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

The degree distribution is an important characteristic of complex networks. In many data analysis applications, the networks should be represented as fixed-length feature vectors and therefore the feature extraction from the degree…

Social and Information Networks · Computer Science 2014-07-23 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar

The inverse problem of finding the optimal network structure for a specific type of dynamical process stands out as one of the most challenging problems in network science. Focusing on the susceptible-infected-susceptible type of dynamics…

Physics and Society · Physics 2021-02-03 Liming Pan , Wei Wang , Lixin Tian , Ying-Cheng Lai

Complex networks are at the core of an intense research activity. However, in most cases, intricate and costly measurement procedures are needed to explore their structure. In some cases, these measurements rely on link queries: given two…

Networking and Internet Architecture · Computer Science 2009-04-22 Fabien Tarissan , Matthieu Latapy , Christophe Prieur

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

Physics and Society · Physics 2007-05-23 Pan-Jun Kim , Hawoong Jeong

Many real systems are extremely vulnerable against attacks, since they are scale-free networks as commonly existing topological structure in them. Thus, in order to improve the robustness of connectivity, several edge rewiring methods have…

Physics and Society · Physics 2021-01-14 Masaki Chujyo , Yukio Hayashi

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 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

Identifying the importance of nodes of complex networks is of interest to the research of Social Networks, Biological Networks etc.. Current researchers have proposed several measures or algorithms, such as betweenness, PageRank and HITS…

Social and Information Networks · Computer Science 2012-11-26 Bojin Zheng , Deyi Li , Guisheng Chen , Wenhua Du , Jianmin 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
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