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We introduce a model of the diffusion of an epidemic with demographically heterogeneous agents interacting socially on a spatially structured network. Contagion-risk averse agents respond behaviorally to the diffusion of the infections by…

综合经济学 · 经济学 2022-04-13 Alberto Bisin , Andrea Moro

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…

概率论 · 数学 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

物理与社会 · 物理学 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu

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…

物理与社会 · 物理学 2016-04-07 M Cotacallapa , M O Hase

The spread of sexually transmitted diseases (e.g. Chlamydia, Syphilis, Gonorrhea, HIV) across populations is a major concern for scientists and health agencies. In this context, both data collection on sexual contact networks and the…

物理与社会 · 物理学 2009-11-13 J. Gomez-Gardenes , V. Latora , Y. Moreno , E. V. Profumo

Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for…

统计力学 · 物理学 2009-11-10 L. M. Sander , C. P. Warren , I. M. Sokolov

This paper deals with the spread of diseases over both a population network and an infrastructure network. We develop a layered networked spread model for a susceptible-infected-susceptible (SIS) pathogen-borne disease spreading over a…

系统与控制 · 电气工程与系统科学 2021-09-21 Philip E. Pare , Axel Janson , Sebin Gracy , Ji Liu , Henrik Sandberg , Karl H. Johansson

We study the effect of external infection sources on phase transitions in epidemic processes. In particular, we consider an epidemic spreading on a network via the SIS/SIR dynamics, which in addition is aided by external agents - sources…

社会与信息网络 · 计算机科学 2013-12-05 Siddhartha Banerjee , Avhishek Chatterjee , Sanjay Shakkottai

The susceptible--infected--susceptible (SIS) epidemic process on complex networks can show metastability, resembling an endemic equilibrium. In a general setting, the metastable state may involve a large portion of the network, or it can be…

物理与社会 · 物理学 2016-05-03 Faryad Darabi Sahneh , Aram Vajdi , Caterina Scoglio

We investigate what structural aspects of a collection of twelve empirical temporal networks of human contacts are important to disease spreading. We scan the entire parameter spaces of the two canonical models of infectious disease…

种群与进化 · 定量生物学 2014-05-27 Petter Holme , Fredrik Liljeros

We investigate the dynamics of an epidemiological susceptible-infected-susceptible (SIS) model on an adaptive network. This model combines epidemic spreading (dynamics on the network) with rewiring of network connections (topological…

适应与自组织系统 · 物理学 2008-06-14 Thilo Gross , Ioannis G. Kevrekidis

The identification of which nodes are optimal seeds for spreading processes on a network is a non-trivial problem that has attracted much interest recently. While activity has mostly focused on non-recurrent type of dynamics, here we…

物理与社会 · 物理学 2020-07-17 Gaël Poux-Médard , Romualdo Pastor-Satorras , Claudio Castellano

Network epidemic simulation holds the promise of enabling fine-grained understanding of epidemic behavior, beyond that which is possible with coarse-grained compartmental models. Key inputs to these epidemic simulations are the networks…

社会与信息网络 · 计算机科学 2024-01-01 Omar Eldaghar , Michael W. Mahoney , David F. Gleich

We demonstrate that the susceptible-infected-susceptible (SIS) model on complex networks can have an inactive Griffiths phase characterized by a slow relaxation dynamics. It contrasts with the mean field theoretical prediction that the SIS…

物理与社会 · 物理学 2015-06-12 Hyun Keun Lee , Pyoung-Seop Shim , Jae Dong Noh

In this paper we elaborate on homogeneous and heterogeneous SIR-type epidemiological models. We find an unexpected correspondence between the epidemic trajectory of a transmissible disease in a homogeneous SIR-type model and radial null…

种群与进化 · 定量生物学 2023-08-04 Silke Klemm , Lucrezia Ravera

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents, and reconnecting those links with the rest of the…

物理与社会 · 物理学 2007-07-11 Damian H. Zanette

Empirical results show that spatial factors such as distance, population density and communication range affect our social activities, also reflected by the development of ties in social networks. This motivates the need for social network…

物理与社会 · 物理学 2020-03-04 Dong Liu , Viktoria Fodor , Lars K. Rasmussen

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

To improve the accuracy of network-based SIS models we introduce and study a multilayer representation of a time-dependent network. In particular, we assume that individuals have their long-term (permanent) contacts that are always present,…

物理与社会 · 物理学 2018-12-13 Aram Vajdi , David Juher , Joan Saldana , Caterina Scoglio

In this paper we study the diffusion of an SIS-type epidemics on a network under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form…

概率论 · 数学 2016-07-25 Stefano Bonaccorsi , Stefania Ottaviano