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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

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

物理与社会 · 物理学 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

This paper considers the susceptible-infected-susceptible (SIS) epidemic model with an underlying network structure among subpopulations and focuses on the effect of social distancing to regulate the epidemic level. We demonstrate that if…

系统与控制 · 电气工程与系统科学 2021-08-09 Yuan Wang , Sebin Gracy , Hideaki Ishii , Karl Henrik Johansson

The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

动力系统 · 数学 2021-07-26 Hannah Scanlon , John Gemmer

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

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

物理与社会 · 物理学 2018-05-09 Clara Granell , Peter J. Mucha

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,…

物理与社会 · 物理学 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

When an epidemic spreads in a population, individuals may adaptively change the structure of their social contact network to reduce risk of infection. Here we study the spread of an epidemic on an adaptive network with community structure.…

种群与进化 · 定量生物学 2012-12-14 Ilker Tunc , Leah B. Shaw

In this work, we aim to understand the influence of the heterogeneity of infection rates on the Susceptible-Infected-Susceptible (SIS) epidemic spreading. Employing the classic SIS model as the benchmark, we study the influence of the…

物理与社会 · 物理学 2016-04-06 Bo Qu , Huijuan Wang

We study the propagation of an SIR (susceptible-infectious-recovered) disease over an agent population which, at any instant, is fully divided into couples of agents. Couples are occasionally allowed to exchange their members. This process…

生物物理 · 物理学 2011-04-21 Damián H. Zanette

We consider a standard \textit{susceptible-infected-susceptible} (SIS) model to study behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual…

物理与社会 · 物理学 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Yong Chen , Ying-Hai Wang

We present and analyze an actively controlled Susceptible-Infected-Susceptible (actSIS) model of interconnected populations to study how risk aversion strategies, such as social distancing, affect network epidemics. A population using a…

种群与进化 · 定量生物学 2024-10-18 Anastasia Bizyaeva , Marcela Ordorica Arango , Yunxiu Zhou , Simon Levin , Naomi Ehrich Leonard

In this paper we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish inner and the outer infection rate. Unlike household-structure models on homogenous…

种群与进化 · 定量生物学 2013-02-14 Jingzhou Liu , Jinshan Wu , Z. R. Yang

Networked epidemic models have been widely adopted to describe propagation phenomena. The endemic equilibrium of these models is of great significance in the field of viral marketing, innovation dissemination, and information diffusion.…

系统与控制 · 电气工程与系统科学 2020-01-22 Fangzhou Liu , Shaoxuan Cui , Xianwei Li , Martin Buss

We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Alexei Vazquez

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

A susceptible-infected-susceptible (SIS) model of multiple contagions on multilayer networks is developed to incorporate different spreading channels and disease mutations. The basic reproduction number for this model is estimated…

物理与社会 · 物理学 2020-03-31 Petar Jovanovski , Igor Tomovski , Ljupco Kocarev

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

统计力学 · 物理学 2009-11-07 M. E. J. Newman

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

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

动力系统 · 数学 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio
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