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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…

Physics and Society · Physics 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…

Applications · Statistics 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…

Biological Physics · Physics 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…

Physics and Society · Physics 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…

Methodology · Statistics 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…

Social and Information Networks · Computer Science 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…

Systems and Control · Electrical Eng. & Systems 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…

Populations and Evolution · Quantitative Biology 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…

Databases · Computer Science 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…

Numerical Analysis · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Physics and Society · Physics 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…

Data Structures and Algorithms · Computer Science 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…

Probability · Mathematics 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…

Populations and Evolution · Quantitative Biology 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…

Physics and Society · Physics 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…

Physics and Society · Physics 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…

Applications · Statistics 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…

Probability · Mathematics 2023-09-27 Franco Flandoli , Francesco Grotto , Andrea Papini , Cristiano Ricci
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