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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 small world network. We show the effects of all the parameters…

物理与社会 · 物理学 2019-11-19 Mohammed Ali Saif

We investigate phase transitions associated with three control methods for epidemics on small world networks. Motivated by the behavior of SARS-CoV-2, we construct a theoretical SIR model of a virus that exhibits presymptomatic,…

物理与社会 · 物理学 2020-07-13 Benjamin Braun , Başak Taraktaş , Brian Beckage , Jane Molofsky

We consider an epidemic process on adaptive activity-driven temporal networks, with adaptive behaviour modelled as a change in activity and attractiveness due to infection. By using a mean-field approach, we derive an analytical estimate of…

物理与社会 · 物理学 2020-09-02 Marco Mancastroppa , Raffaella Burioni , Vittoria Colizza , Alessandro Vezzani

This paper is concerned with stochastic SIR and SEIR epidemic models on random networks in which individuals may rewire away from infected neighbors at some rate $\omega$ (and reconnect to non-infectious individuals with probability…

种群与进化 · 定量生物学 2016-11-15 Tom Britton , David Juher , Joan Saldana

We study the critical effect of an intermittent social distancing strategy on the propagation of epidemics in adaptive complex networks. We characterize the effect of our strategy in the framework of the susceptible-infected-recovered…

物理与社会 · 物理学 2012-04-02 L. D. Valdez , P. A. Macri , L. A. Braunstein

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

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

物理与社会 · 物理学 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

How does social distancing affect the reach of an epidemic in social networks? We present Monte Carlo simulation results of a capacity constrained Susceptible-Infected-Removed (SIR) model. The key modelling feature is that individuals are…

种群与进化 · 定量生物学 2021-03-08 Gregory Gutin , Tomohiro Hirano , Sung-Ha Hwang , Philip R. Neary , Alexis Akira Toda

In this article, we present a modification to the network-based stochastic SEIR epidemic model which allows for modifications to the underlying contact network to account for the effects of quarantine. We also discuss the changes needed to…

种群与进化 · 定量生物学 2020-08-05 Chris Groendyke , Adam Combs

In this work, we study the evolution of the susceptible individuals during the spread of an epidemic modeled by the susceptible-infected-recovered (SIR) process spreading on the top of complex networks. Using an edge-based compartmental…

物理与社会 · 物理学 2012-09-25 L. D. Valdez , P. A. Macri , L. A. Braunstein

During pandemic events, strategies such as social distancing can be fundamental to curb viral spreading. Such actions can reduce the number of simultaneous infections and mitigate the disease spreading, which is relevant to the risk of a…

物理与社会 · 物理学 2021-02-24 Marco A. Amaral , Marcelo M. de Oliveira , Marco A. Javarone

The mobility patterns of individuals in China during the early outbreak of the COVID-19 pandemic exhibit reversible changes -- in many regions, the mobility first decreased significantly and later restored. Based on this observation, here…

物理与社会 · 物理学 2022-10-25 Xincheng Shu , Zhongyuan Ruan

We study the relative importance of two key control measures for epidemic spreading: endogenous social self-distancing and exogenous imposed quarantine. We use the framework of adaptive networks, moment-closure, and ordinary differential…

种群与进化 · 定量生物学 2020-10-22 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

最优化与控制 · 数学 2020-04-14 Renato Pagliara , Naomi E. Leonard

In real social networks, person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.…

物理与社会 · 物理学 2020-05-12 Ignacio A. Perez , Paul A. Trunfio , Cristian E. La Rocca , Lidia A. Braunstein

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

The Susceptible-Infected-Recovered (SIR) model has successfully mimicked the propagation of such airborne diseases as influenza A (H1N1). Although the SIR model has recently been studied in a multilayer networks configuration, in almost all…

物理与社会 · 物理学 2015-07-16 L. G. Alvarez Zuzek , H. E. Stanley , L. A. Braunstein

We study the Susceptible-Infected-Susceptible model of epidemic spreading on two layers of networks interconnected by adaptive links, which are rewired at random to avoid contacts between infected and susceptible nodes at the interlayer. We…

物理与社会 · 物理学 2019-12-03 F. Vazquez , M. A. Serrano , M. San Miguel

Populations are seldom completely isolated from their environment. Individuals in a particular geographic or social region may be considered a distinct network due to strong local ties, but will also interact with individuals in other…

物理与社会 · 物理学 2012-03-30 M. Dickison , S. Havlin , H. E. Stanley
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