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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

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

Populations and Evolution · Quantitative Biology 2009-11-13 Alexei Vazquez

This paper investigates optimal vaccination strategies in a metapopulation epidemic model. We consider a linear cost to better capture operational considerations, such as the total number of vaccines or hospitalizations, in contrast to the…

Optimization and Control · Mathematics 2025-06-03 Lucas Machado Moschen , Maria Soledad Aronna

This paper uses new and existing methods to study collective trends across countries throughout the pandemic, with a focus on the multivariate time series of reproduction numbers and vaccine proliferation. We begin with a time-varying…

Physics and Society · Physics 2023-10-16 Nick James , Max Menzies

This work describes a simple agent model for the spread of an epidemic outburst, with special emphasis on mobility and geographical considerations, which we characterize via statistical mechanics and numerical simulations. As the mobility…

Statistical Mechanics · Physics 2021-09-30 Óscar Toledano , Begoña Mula , Silvia N. Santalla , Javier Rodríguez-Laguna , Óscar Gálvez

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

We examine here the effects of recurrent vaccination and waning immunity on the establishment of an endemic equilibrium in a population. An individual-based model that incorporates memory effects for transmission rate during infection and…

Populations and Evolution · Quantitative Biology 2024-11-22 Félix Foutel-Rodier , Arthur Charpentier , Hélène Guérin

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

Efficient allocation of limited medical resources is crucial for controlling epidemic spreading on networks. Based on the susceptible-infected-susceptible model, we solve an optimization problem as how best to allocate the limited resources…

Populations and Evolution · Quantitative Biology 2017-08-02 Hanshuang Chen , Guofeng Li , Haifeng Zhang , Zhonghuai Hou

We study how the behavior of viral spreading processes is influenced by local structural properties of the network over which they propagate. For a wide variety of spreading processes, the largest eigenvalue of the adjacency matrix of the…

Optimization and Control · Mathematics 2012-09-05 Victor M. Preciado , Moez Draief , Ali Jadbabaie

In this work, we address a multicoupled dynamics on complex networks with tunable structural segregation. Specifically, we work on a networked epidemic spreading under a vaccination campaign with agents in favor and against the vaccine. Our…

Physics and Society · Physics 2021-09-15 Marcelo A. Pires , Andre L. Oestereich , Nuno Crokidakis , Sílvio M. Duarte Queirós

Information dissemination intricately intertwines with the dynamics of infectious diseases in the contemporary interconnected world. Recognizing the critical role of public awareness, individual vaccination choices appear to be an essential…

Physics and Society · Physics 2024-10-30 Viney Kumar , Chris T Bauch , Samit Bhattacharyya

In this paper, we study the interplay between individual behaviors and epidemic spreading in a dynamical network. We distribute agents on a square-shaped region with periodic boundary conditions. Every agent is regarded as a node of the…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Ming Tang , Zhen Wang

Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand disease…

Working in the multi-type Galton-Watson branching-process framework we analyse the spread of a pandemic via a general multi-type random contact graph. Our model consists of several communities, and takes, as input, parameters that outline…

Statistical Mechanics · Physics 2023-06-14 Dor Minzer , Yaron Oz , Muli Safra , Lior Wainstain

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

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

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

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

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