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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 epidemic spreading on arbitrary complex networks is studied in SIR (Susceptible Infected Recovered) compartment model. We propose our implementation of a Naive SIR algorithm for epidemic simulation spreading on networks that uses data…

数据结构与算法 · 计算机科学 2015-03-20 Nino Antulov-Fantulin , Alen Lancic , Hrvoje Stefancic , Mile Sikic

The infection dynamics of a population under stationary isolation conditions is modeled. It is underlined that the stationary character of the isolation measures can be expected to imply that an effective SIR model with constant parameters…

种群与进化 · 定量生物学 2021-10-19 Alejandro Cabo Montes de Oca , Nana Geraldine Cabo Bizet

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

Social distancing strategies have been adopted by governments to manage the COVID-19 pandemic, since the first outbreak began. However, further epidemic waves keep out the return of economic and social activities to their standard levels of…

最优化与控制 · 数学 2021-06-07 J. E. Sereno , A. D' Jorge , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

In this paper, we study the effectiveness of the modelling approach on the pandemic due to the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed (SIR) model that provides a theoretical framework to…

种群与进化 · 定量生物学 2020-08-26 Ian Cooper , Argha Mondal , Chris G. Antonopoulos

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

The group testing problem asks for efficient pooling schemes and algorithms that allow to screen moderately large numbers of samples for rare infections. The goal is to accurately identify the infected samples while conducting the least…

人工智能 · 计算机科学 2021-05-19 AminCoja-Oghlan , Max Hahn-Klimroth , Philipp Loick , Manuel Penschuck

The Susceptible-Exposed-Infectious-Recovered (SEIR) model is applied in several countries to ascertain the spread of the coronavirus disease 2019 (COVID-19). We consider discrete-time SEIR epidemic model in a closed system which does not…

动力系统 · 数学 2021-05-04 U. A. Rozikov , S. K. Shoyimardonov

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

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

Testing is recommended for all close contacts of confirmed COVID-19 patients. However, existing group testing methods are oblivious to the circumstances of contagion provided by contact tracing. Here, we build upon a well-known…

应用统计 · 统计学 2021-07-01 Stratis Tsirtsis , Abir De , Lars Lorch , Manuel Gomez-Rodriguez

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts for the changing characteristics of testing, quarantine and…

种群与进化 · 定量生物学 2020-07-03 Zhenlin Wang , Xiaoxuan Zhang , Gregory Teichert , Mariana Carrasco-Teja , Krishna Garikipati

In this paper, we study the trajectory of a classic SIR epidemic on a family of dynamic random graphs of fixed size, whose set of edges continuously evolves over time. We set general infection and recovery times, and start the epidemic from…

概率论 · 数学 2025-01-17 Marta Milewska , Remco van der Hofstad , Bert Zwart

In this study, we address three important challenges related to disease transmissions such as the COVID-19 pandemic, namely, (a) providing an early warning to likely exposed individuals, (b) identifying individuals who are asymptomatic, and…

种群与进化 · 定量生物学 2021-09-13 Shashanka Ubaru , Lior Horesh , Guy Cohen

We numerically study the dynamics of the SIR disease model on small-world networks by using a large-deviation approach. This allows us to obtain the probability density function of the total fraction of infected nodes and of the maximum…

物理与社会 · 物理学 2022-09-01 Yannick Feld , Alexander K. Hartmann

In the group testing problem the aim is to identify a small set of $k\sim n^\theta$ infected individuals out of a population size $n$, $0<\theta<1$. We avail ourselves of a test procedure capable of testing groups of individuals, with the…

离散数学 · 计算机科学 2021-05-14 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Philipp Loick

In a collection of particles performing independent random walks on $\mathbb Z^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and…

概率论 · 数学 2022-09-14 Duncan Dauvergne , Allan Sly

Infectious diseases spread through human networks. Susceptible-Infected-Removed (SIR) model is one of the epidemic models to describe infection dynamics on a complex network connecting individuals. In the metapopulation SIR model, each node…

物理与社会 · 物理学 2015-08-27 Kanako Mizuno , Kazue Kudo