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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

Group testing was conceived during World War II to identify soldiers infected with syphilis using as few tests as possible, and it has attracted renewed interest during the COVID-19 pandemic. A long-standing assumption in the probabilistic…

社会与信息网络 · 计算机科学 2022-11-18 Surin Ahn , Wei-Ning Chen , Ayfer Ozgur

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 consider dynamical group testing problem with a community structure. With a discrete-time SIR (susceptible, infectious, recovered) model, we use Dorfman's two-step group testing approach to identify infections, and step in whenever…

统计方法学 · 统计学 2022-01-21 Mustafa Doger , Sennur Ulukus

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

最优化与控制 · 数学 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

Understanding infectious disease spread remains a critical public health challenge, particularly given the interplay between household dynamics and community transmission patterns. Traditional epidemiological models often oversimplify these…

种群与进化 · 定量生物学 2026-01-21 Houda Yaqine , Christiane Fuchs

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

物理与社会 · 物理学 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

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

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

Cities have long served as nucleating centers for human development and advancement. Cities have facilitated the spread of both human creativity and human disease, and at the same time, efforts to minimize the spread of disease have…

物理与社会 · 物理学 2020-11-10 Harold M Hastings , Tai Young-Taft

Dynamic properties of spreading infection through a heterogeneous population are studied numerically and analytically using a dynamic variant of Watts and Strogatz Small World Network-based stochastic Susceptible-Exposed-Infectious-Removed…

种群与进化 · 定量生物学 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

We consider the problem of identifying infected individuals in a population of size N. We introduce a group testing approach that uses significantly fewer than N tests when infection prevalence is low. The most common approach to group…

应用统计 · 统计学 2022-01-03 Paolo Bertolotti , Ali Jadbabaie

We propose a stochastic SIR model, specified as a system of stochastic differential equations, to analyse the data of the Italian COVID-19 epidemic, taking also into account the under-detection of infected and recovered individuals in the…

种群与进化 · 定量生物学 2021-02-22 Sara Pasquali , Antonio Pievatolo , Antonella Bodini , Fabrizio Ruggeri

Accurate detection of infected individuals is one of the critical steps in stopping any pandemic. When the underlying infection rate of the disease is low, testing people in groups, instead of testing each individual in the population, can…

统计方法学 · 统计学 2021-10-07 Mingzhou Fan , Byung-Jun Yoon , Francis J. Alexander , Edward R. Dougherty , Xiaoning Qian

This paper develops an individual-based stochastic network SIR model for the empirical analysis of the Covid-19 pandemic. It derives moment conditions for the number of infected and active cases for single as well as multigroup epidemic…

计量经济学 · 经济学 2022-01-05 M. Hashem Pesaran , Cynthia Fan Yang

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

统计方法学 · 统计学 2016-06-23 Catherine Matias , Vincent Miele

Group testing has recently attracted significant attention from the research community due to its applications in diagnostic virology. An instance of the group testing problem includes a ground set of individuals which includes a small…

信息论 · 计算机科学 2022-02-25 Esmaeil Karimi , Anoosheh Heidarzadeh , Krishna R. Narayanan , Alex Sprintson

Testing individuals for pathogens can affect the spread of epidemics. Understanding how individual-level processes of sampling and reporting test results can affect community- or population-level spread is a dynamical modeling question. The…

种群与进化 · 定量生物学 2021-07-20 Ali Gharouni , F. M. Abdelmalek , David J. D. Earn , Jonathan Dushoff , Benjamin M. Bolker

Group testing enables to identify infected individuals in a population using a smaller number of tests than individual testing. To achieve this, group testing algorithms commonly assume knowledge of the number of infected individuals;…

信息论 · 计算机科学 2023-05-16 Chaorui Yao , Pavlos Nikolopoulos , Christina Fragouli

We propose a novel testing and containment strategy in order to contain the spread of SARS-CoV2 while permitting large parts of the population to resume social and economic activity. Our approach recognises the fact that testing capacities…

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