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Quarantining and contact tracing are popular ad hoc practices for mitigating epidemic outbreaks. However, few mathematical theories are currently available to asses the role of a network in the effectiveness of these practices. In this…

Physics and Society · Physics 2020-10-13 Ivan Kryven , Clara Stegehuis

Epidemic control is of great importance for human society. Adjusting interacting partners is an effective individualized control strategy. Intuitively, it is done either by shortening the interaction time between susceptible and infected…

Populations and Evolution · Quantitative Biology 2016-12-28 Bin Wu , Shanjun Mao , Jiazeng Wang , Da Zhou

We consider a stochastic epidemic model with sideward contact tracing. We assume that infection is driven by interactions within mixing events (gatherings of two or more individuals). Once an infective is diagnosed, each individual who was…

Populations and Evolution · Quantitative Biology 2025-03-28 Dongni Zhang , Martina Favero

We consider an SEIR epidemic model on a network also allowing random contacts, where recovered individuals could either recover naturally or be diagnosed. Upon diagnosis, manual contact tracing is triggered such that each infected network…

Physics and Society · Physics 2024-06-06 Dongni Zhang , Tom Britton

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

Epidemiological contact network models have emerged as an important tool in understanding and predicting the spread of infectious disease, due to their capacity to engage individual heterogeneity that may underlie essential dynamics of a…

Physics and Society · Physics 2019-10-28 Jack Leitch , Kathleen A. Alexander , Srijan Sengupta

Many progresses in the understanding of epidemic spreading models have been obtained thanks to numerous modeling efforts and analytical and numerical studies, considering host populations with very different structures and properties,…

Physics and Society · Physics 2018-02-02 Antoine Moinet , Alain Barrat , Romualdo Pastor Satorras

Tracing potentially infected contacts of confirmed cases is important when fighting outbreaks of many infectious diseases. The COVID-19 pandemic has motivated researchers to examine how different contact tracing strategies compare in terms…

Populations and Evolution · Quantitative Biology 2022-07-01 Jonas L. Juul , Steven H. Strogatz

For rapidly spreading diseases where many cases show no symptoms, swift and effective contact tracing is essential. While exposure notification applications provide alerts on potential exposures, a fully automated system is needed to track…

Social and Information Networks · Computer Science 2025-01-31 Sofia Hurtado , Radu Marculescu

We consider an age-structured epidemic model with two basic public health interventions: (i) identifying and isolating symptomatic cases, and (ii) tracing and quarantine of the contacts of identified infectives. The dynamics of the infected…

Populations and Evolution · Quantitative Biology 2014-03-13 Xi Huo

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

Social and Information Networks · Computer Science 2020-07-30 Anirban Dasgupta , Srijan Sengupta

We present a contact-based model to study the spreading of epidemics by means of extending the dynamic message passing approach to temporal networks. The shift in perspective from node- to edge-centric quantities enables accurate modelling…

Physics and Society · Physics 2019-08-07 Andreas Koher , Hartmut H. K. Lentz , James P. Gleeson , Philipp Hövel

The challenges presented by the COVID-19 epidemic have created a renewed interest in the development of new methods to combat infectious diseases. A prominent property of the SARS-CoV-2 transmission is the significant fraction of…

Physics and Society · Physics 2021-12-08 Lorenz Baumgarten , Stefan Bornholdt

Infectious diseases are caused by pathogenic microorganisms, such as bacteria, viruses, parasites or fungi, which can be spread, directly or indirectly, from one person to another. Infectious diseases pose a serious threat to human health,…

Social and Information Networks · Computer Science 2021-06-18 Ting Jiang , Yang Zhang , Minhao Zhang , Ting Yu , Yizheng Chen , Chenhao Lu , Ji Zhang , Zhao Li , Jun Gao , Shuigeng Zhou

Albeit numerous countries relied on contact-tracing (CT) applications as an epidemic control measure against the COVID-19 pandemic, the debate around their effectiveness is still open. Most studies indicate that very high levels of adoption…

Physics and Society · Physics 2023-07-26 Ariadna Fosch , Alberto Aleta , Yamir Moreno

Non-pharmaceutical interventions, such as contact tracing and social distancing, are critical for controlling epidemic outbreaks, yet their dynamic interactions remain underexplored. We introduce a probabilistic framework to analyze the…

Physics and Society · Physics 2025-12-11 Jinghui Wang , Yutian Zeng , Cong Xu , Xiyun Zhang , Zhanwei Du , Jiarong Xie , Jiu Zhang , Sen Pei , Zijian Feng , Yanqing Hu

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

A key characteristic of the spread of infectious diseases is their ability to use efficient transmission paths within contact graphs. This enables the pathogen to maximise infection rates and spread within a target population. In this work,…

Social and Information Networks · Computer Science 2020-06-11 Shishir Nagaraja

A generalization of the standard susceptible-infectious-removed (SIR) stochastic model for epidemics in sparse random networks is introduced which incorporates contact tracing in addition to random screening. We propose a deterministic…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Ramon Huerta , Lev S. Tsimring

Contact tracing can be thought of as a race between two processes: an infection process and a tracing process. In this paper, we study a simple model of infection spreading on a tree, and a tracer who stabilizes one node at a time. We focus…

Probability · Mathematics 2022-10-25 Michela Meister , Jon Kleinberg