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The last decade saw the advent of increasingly realistic epidemic models that leverage on the availability of highly detailed census and human mobility data. Data-driven models aim at a granularity down to the level of households or single…

种群与进化 · 定量生物学 2011-08-10 Nicola Perra , Duygu Balcan , Bruno Gonçalves , Alessandro Vespignani

In this paper, we develop a multi-group epidemic framework via virtual dispersal where the risk of infection is a function of the residence time and local environmental risk. This novel approach eliminates the need to define and measure…

种群与进化 · 定量生物学 2015-04-01 Derdei Bichara , Yun Kang , Carlos Castillo-Chavez , Richard Horan , Charles Perrings

Based on the classical SIR model, we derive a simple modification for the dynamics of epidemics with a known incubation period of infection. The model is described by a system of integro-differential equations. Parameters of our model…

种群与进化 · 定量生物学 2021-09-01 David B. Saakian

Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

社会与信息网络 · 计算机科学 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

The spreading of an infectious disease can trigger human behavior responses to the disease, which in turn plays a crucial role on the spreading of epidemic. In this study, to illustrate the impacts of the human behavioral responses, a new…

物理与社会 · 物理学 2015-09-30 Can Liu , Jia-Rong Xie , Han-Shuang Chen , Hai-Feng Zhang , Ming Tang

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…

社会与信息网络 · 计算机科学 2021-02-23 Jessica Hoffmann , Matt Jordan , Constantine Caramanis

We study an SIS epidemic process over a static contact network where the nodes have partial information about the epidemic state. They react by limiting their interactions with their neighbors when they believe the epidemic is currently…

社会与信息网络 · 计算机科学 2024-05-03 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Jeff S. Shamma

This paper analyses the optimal control of infectious disease propagation using a classic susceptible-infected-recovered (SIR) model characterised by permanent immunity and the absence of available vaccines. The control is performed over a…

In the wake of epidemics, quarantine measures are typically recommended by health authorities or governments to help control the spread of the disease. Compared with mandatory quarantine, voluntary quarantine offers individuals the liberty…

物理与社会 · 物理学 2024-03-14 Simiao Shi , Zhiyuan Wang , Xingru Chen , Feng Fu

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

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

物理与社会 · 物理学 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

Recent work has shown that different theoretical approaches to the dynamics of the Susceptible-Infected-Susceptible (SIS) model for epidemics lead to qualitatively different estimates for the position of the epidemic threshold in networks.…

统计力学 · 物理学 2012-10-17 Silvio C. Ferreira , Claudio Castellano , Romualdo Pastor-Satorras

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…

物理与社会 · 物理学 2018-02-22 Giovanni Strona , Claudio Castellano

A stochastic SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a social network is analysed. The underlying social network is described by an Erd\H{o}s-R\'{e}nyi random graph but, during the course of the epidemic,…

概率论 · 数学 2020-08-17 Frank Ball , Tom Britton

We study the phase transition from the persistence phase to the extinction phase for the SIRS (susceptible/ infected/ refractory/ susceptible) model of diseases spreading on the networks. We derive an analytical expression of the…

种群与进化 · 定量生物学 2019-11-18 M. Ali Saif

Quarantine measures are one of the first lines of defense against the spread of infectious diseases. However, maintaining these measures over extended periods can be challenging due to a phenomenon known as quarantine fatigue. In this…

种群与进化 · 定量生物学 2023-12-25 L. D. Valdez

In this work we review a class of deterministic nonlinear models for the propagation of infectious diseases over contact networks with strongly-connected topologies. We consider network models for susceptible-infected (SI),…

社会与信息网络 · 计算机科学 2017-01-13 Wenjun Mei , Shadi Mohagheghi , Sandro Zampieri , Francesco Bullo

We study the susceptible-infected-susceptible (SIS) model on directed complex networks within the quenched mean-field approximation. Combining results from random matrix theory with an analytic approach to the distribution of fixed-point…

物理与社会 · 物理学 2025-12-12 Vinícius B. Müller , Fernando L. Metz

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

无序系统与神经网络 · 物理学 2007-05-23 Naoki Masuda , Norio Konno

Recent studies on network geometry, a way of describing network structures as geometrical objects, are revolutionizing our way to understand dynamical processes on networked systems. Here, we cope with the problem of epidemic spreading,…

物理与社会 · 物理学 2020-03-04 Joan T. Matamalas , Sergio Gómez , Alex Arenas