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Intent of this research is to explore how mathematical models, specifically Susceptible-Infected-Removed (SIR) model, can be utilized to forecast peak outbreak timeline of COVID-19 epidemic amongst a population of interest starting from the…

种群与进化 · 定量生物学 2020-09-14 Amit Tewari

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

社会与信息网络 · 计算机科学 2016-05-12 Shohreh Shaghaghian , Mark Coates

The adoption of prophylaxis attitudes, such as social isolation and use of face masks, to mitigate epidemic outbreaks strongly depends on the support of the population. In this work, we investigate a susceptible-infected-recovered (SIR)…

物理与社会 · 物理学 2022-10-05 Diogo H. Silva , Celia Anteneodo , Silvio C. Ferreira

This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infectious-Susceptible)…

系统与控制 · 电气工程与系统科学 2025-08-14 Qiulin Xu , Tatsuya Masada , Hideaki Ishii

Within the likes of any highly contagious and unpredictable disease, lies a predictable and attainable growth rate that researchers can find in order to make logistical conclusions about that particular disease and its affected regions'…

应用统计 · 统计学 2024-02-05 Julian Bennett , Lauren Eriksen , Xingjie Helen Li

We present a stochastic model for two successive SIR (Susceptible, Infectious, Recovered) epidemics in the same network structured population. Individuals infected during the first epidemic might have (partial) immunity for the second one.…

种群与进化 · 定量生物学 2024-10-29 Frank Ball , Abid Ali Lashari , David Sirl , Pieter Trapman

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

The dramatic outbreak of the coronavirus disease 2019 (COVID-19) pandemics and its ongoing progression boosted the scientific community's interest in epidemic modeling and forecasting. The SIR (Susceptible-Infected-Removed) model is a…

种群与进化 · 定量生物学 2021-02-24 Dimiter Prodanov

This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data stand for the spatial concentrations of infectious agent and…

偏微分方程分析 · 数学 2020-07-31 Wen-Bing Xu , Wan-Tong Li , Shigui Ruan

We present a method aimed to compute the communicability (broadcast and receive) of nodes through causal paths in temporal networks. The method considers all possible combinations of chronologically ordered products of adjacency matrices of…

物理与社会 · 物理学 2022-02-07 Agostino Funel

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

Early outbreak detection is a key aspect in the containment of infectious diseases, as it enables the identification and isolation of infected individuals before the disease can spread to a larger population. Instead of detecting unexpected…

机器学习 · 计算机科学 2021-10-19 Michael Rapp , Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

机器学习 · 计算机科学 2024-09-13 Antti Pöllänen , Pekka Marttinen

We study extensions of the classical SIR model of epidemic spread. First, we consider a single population modified SIR epidemics model in which the contact rate is allowed to be an arbitrary function of the fraction of susceptible and…

动力系统 · 数学 2021-12-17 Martina Alutto , Giacomo Como , Fabio Fagnani

We present an epidemiological compartment model, SAIR(S), that explicitly captures the dynamics of asymptomatic infected individuals in an epidemic spread process. We first present a group model and then discuss networked versions. We…

种群与进化 · 定量生物学 2021-03-23 Xiaoqi Bi , Carolyn L. Beck

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

统计计算 · 统计学 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

We present a Bayesian approach for the Contamination Source Detection problem in Water Distribution Networks. Given an observation of contaminants in one or more nodes in the network, we try to give probable explanation for it assuming that…

数据分析、统计与概率 · 物理学 2018-09-28 Ernesto Ortega , Alfredo Braunstein , Alejandro Lage-Castellanos

Stochastic epidemic models can estimate infection and removal rates, and derived quantities such as the basic reproductive number ($R_0$), when both infection and removal times are observed. In practice, however, removal times are often…

统计方法学 · 统计学 2026-03-24 Seth D. Temple , Jonathan Terhorst

In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and global contacts among…

物理与社会 · 物理学 2015-06-09 Martin Dottori , Gabriel Fabricius

The Susceptible-Infectious-Recovered (SIR) model is the canonical model of epidemics of infections that make people immune upon recovery. Many of the open questions in computational epidemiology concern the underlying contact structure's…

物理与社会 · 物理学 2021-06-09 Petter Holme