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A deterministic model with testing of infected individuals has been proposed to investigate the potential consequences of the impact of testing strategy. The model exhibits global dynamics concerning the disease-free and a unique endemic…

Populations and Evolution · Quantitative Biology 2023-05-24 Sarita Bugalia , Jai Prakash Tripathi

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

Populations and Evolution · Quantitative Biology 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Researchers, policy makers, and engineers need to make sense of data from spreading processes as diverse as rumor spreading in social networks, viral infections, and water contamination. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2026-01-08 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

It is the main purpose of this paper to introduce a graph-valued stochastic process in order to model the spread of a communicable infectious disease. The major novelty of the SIR model we promote lies in the fact that the social network on…

Applications · Statistics 2014-02-06 Charanpal Dhanjal , Stéphan Clémençon

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

Methodology · Statistics 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

Suppressing SARS-CoV-2 will likely require the rapid identification and isolation of infected individuals, on an ongoing basis. RT-PCR (reverse transcription polymerase chain reaction) tests are accurate but costly, making regular testing…

We discuss various models for epidemics on networks that rely on Markov chains. Random walks on graphs are often used to predict epidemic spread and to investigate possible control actions to mitigate them. In this study, we demonstrate…

Physics and Society · Physics 2022-07-07 Sooyeong Kim , Jane Breen , Ekaterina Dudkina , Federico Poloni , Emanuele Crisostomi

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…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

The upheaval brought by the arrival of the COVID-19 pandemic has continued to bring fresh challenges over the past two years. During this COVID-19 pandemic, there has been a need for rapid identification of infected patients and specific…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Ming Li , Yingying Fang , Zeyu Tang , Chibudom Onuorah , Jun Xia , Javier Del Ser , Simon Walsh , Guang Yang

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

Accurately predicting individual-level infection state is of great value since its essential role in reducing the damage of the epidemic. However, there exists an inescapable risk of privacy leakage in the fine-grained user mobility…

Social and Information Networks · Computer Science 2024-07-29 Wenjie Fu , Huandong Wang , Chen Gao , Guanghua Liu , Yong Li , Tao Jiang

In times of outbreaks, an essential requirement for better monitoring is the evaluation of the number of undiagnosed infected individuals. An accurate estimate of this fraction is crucial for the assessment of the situation and the…

Populations and Evolution · Quantitative Biology 2021-03-17 Akiva B. Melka , Yoram Louzoun

The main aim to build models capable of simulating the spreading of infectious diseases is to control them. And along this way, the key to find the optimal strategy for disease control is to obtain a large number of simulations of disease…

Social and Information Networks · Computer Science 2022-04-22 Ting Wang , Gui-Yun Li , Xin-Hui Li , Chi-Chun Zhou , Yuan-Yuan Wang , Li-Juan Li , Yan-Ting Yang

A quantitative COVID-19 model that incorporates hidden asymptomatic patients is developed, and an analytic solution in parametric form is given. The model incorporates the impact of lockdown and resulting spatial migration of population due…

Populations and Evolution · Quantitative Biology 2020-06-02 Shaurya Kaushal , Abhineet Singh Rajput , Soumyadeep Bhattacharya , M. Vidyasagar , Aloke Kumar , Meher K. Prakash , Santosh Ansumali

Today, tracking and controlling the spread of a virus is a crucial need for almost all countries. Doing this early would save millions of lives and help countries keep a stable economy. The easiest way to control the spread of a virus is to…

Cryptography and Security · Computer Science 2020-10-26 Didem Demirag , Erman Ayday

We consider a standard \textit{susceptible-infected-susceptible} (SIS) model to study behaviors of steady states of epidemic spreading in small-world networks. Using analytical methods and large scale simulations, we recover the usual…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Yong Chen , Ying-Hai Wang

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

In the context of multilevel longitudinal data, where sample units are collected in clusters, an important aspect that should be accounted for is the unobserved heterogeneity between sample units and between clusters. For this aim we…

Statistics Theory · Mathematics 2012-08-10 F. Bartolucci , M. Lupparelli

Wearable devices including accelerometers are increasingly being used to collect high-frequency human activity data in situ. There is tremendous potential to use such data to inform medical decision making and public health policies.…

Computation · Statistics 2020-06-12 Zekun Xu , Eric B. Laber , Ana-Maria Staicu

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig