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Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

物理与社会 · 物理学 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

Emerging infectious diseases are existential threats to human health and global stability. The recent outbreaks of the novel coronavirus COVID-19 have rapidly formed a global pandemic, causing hundreds of thousands of infections and huge…

应用统计 · 统计学 2020-06-02 Chuansai Zhou , Wen Yuan , Jun Wang , Haiyong Xu , Yong Jiang , Xinmin Wang , Qiuzi Han Wen , Pingwen Zhang

We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

生物物理 · 物理学 2012-10-25 Frank Bauer , Joseph T. Lizier

Passenger contact in public transit (PT) networks can be a key mediate in the spreading of infectious diseases. This paper proposes a time-varying weighted PT encounter network to model the spreading of infectious diseases through the PT…

物理与社会 · 物理学 2020-11-24 Baichuan Mo , Kairui Feng , Yu Shen , Clarence Tam , Daqing Li , Yafeng Yin , Jinhua Zhao

We study a dynamic infection spread model, inspired by the discrete time SIR model, where infections are spread via non-isolated infected individuals. While infection keeps spreading over time, a limited capacity testing is performed at…

统计方法学 · 统计学 2022-01-25 Batuhan Arasli , Sennur Ulukus

Detection of patient-zero can give new insights to the epidemiologists about the nature of first transmissions into a population. In this paper, we study the statistical inference problem of detecting the source of epidemics from a snapshot…

社会与信息网络 · 计算机科学 2015-06-24 Nino Antulov-Fantulin , Alen Lancic , Tomislav Smuc , Hrvoje Stefancic , Mile Sikic

We consider the dynamic infection spread model that is based on the discrete SIR model which assumes infections to be spread over time via infected and non-isolated individuals. In our system, the main objective is not to minimize the…

系统与控制 · 电气工程与系统科学 2022-05-23 Batuhan Arasli , Sennur Ulukus

We have designed a computational model of a virus spread near the outbreak threshold. Using computer simulation we studied the Susceptible - Infected - Recovered (SIR) process where in consequence of a force of habit that is manifested by…

种群与进化 · 定量生物学 2021-12-23 Jozef Černák

With the advent of reliable positioning technologies and prevalence of location-based services, it is now feasible to accurately study the propagation of items such as infectious viruses, sensitive information pieces, and malwares through a…

数据库 · 计算机科学 2012-05-31 Houtan Shirani-Mehr , Farnoush Banaei Kashani , Cyrus Shahabi

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

数值分析 · 数学 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

The spread of infectious diseases crucially depends on the pattern of contacts among individuals. Knowledge of these patterns is thus essential to inform models and computational efforts. Few empirical studies are however available that…

We present an unsupervised approach to analyze crowd at various levels of granularity $-$ individual, group and collective. We also propose a motion model to represent the collective motion of the crowd. The model captures the…

计算机视觉与模式识别 · 计算机科学 2017-11-01 Neha Bhargava , Subhasis Chaudhuri

We analyze a recently proposed temporal centrality measure applied to an empirical network based on person-to-person contacts in an emergency department of a busy urban hospital. We show that temporal centrality identifies a distinct set of…

物理与社会 · 物理学 2016-03-15 Isabel Chen , Michele Benzi , Howard H. Chang , Vicki S. Hertzberg

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

数据结构与算法 · 计算机科学 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

In this work, we use a new approach to study the spread of an infectious disease. Indeed, we study a SIR epidemic model with variable infectivity, where the individuals are distributed over a compact subset $D$ of $\R^d$. We define…

概率论 · 数学 2025-11-18 Armand Kanga , Etienne Pardoux

The effect of spatial correlations on the spread of infectious diseases was investigated using a stochastic SIR (Susceptible-Infective-Recovered) model on complex networks. It was found that in addition to the reduction of the effective…

种群与进化 · 定量生物学 2007-05-23 J. Verdasca , M. M. Telo da Gama , A. Nunes , N. R. Bernardino , J. M. Pacheco , M. C. Gomes

This work aims to assess the risks of Covid-19 disease spread in diverse daily-life situations (referred to as scenarios) involving crowds of maskless pedestrians, mostly outdoors. More concretely, we develop a method to infer the global…

物理与社会 · 物理学 2021-11-04 Willy Garcia , Simon Mendez , Baptiste Fray , Alexandre Nicolas

In a metapopulation network, infectious diseases spread widely because of the travel of individuals. In the present study, we consider a modified metapopulation Susceptible-Infected-Removed (SIR) model with a latent period, which we call…

物理与社会 · 物理学 2017-08-02 Kazue Kudo , Kanako Mizuno

In this paper, we develop a method to estimate the infection-rate of a disease, over a region, as a field that varies in space and time. To do so, we use time-series of case-counts of symptomatic patients as observed in the areal units that…

应用统计 · 统计学 2024-06-19 Cosmin Safta , Wyatt Bridgman , Jaideep Ray

Infection spread among individuals is modelled with a continuous time Markov chain, in which subject interactions depend on their distance in space. The well known SIR model and non local variants of the latter are then obtained as large…

概率论 · 数学 2023-09-27 Franco Flandoli , Francesco Grotto , Andrea Papini , Cristiano Ricci
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