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The contact structure between hosts has a critical influence on disease spread. However, most networkbased models used in epidemiology tend to ignore heterogeneity in the weighting of contacts. This assumption is known to be at odds with…

Populations and Evolution · Quantitative Biology 2012-09-03 Christel Kamp , Mathieu Moslonka-Lefebvre , Samuel Alizon

Infectious diseases that spread silently through asymptomatic or pre-symptomatic infections represent a challenge for policy makers. A traditional way of achieving isolation of silent infectors from the community is through forward contact…

Physics and Society · Physics 2023-11-09 Giulia de Meijere , Claudio Castellano

Multiple lines of evidence strongly suggest that infection hotspots, where a single individual infects many others, play a key role in the transmission dynamics of COVID-19. However, most of the existing epidemiological models fail to…

One of the more widely advocated solutions for slowing down the spread of COVID-19 has been automated contact tracing. Since proximity data can be collected by personal mobile devices, the natural proposal has been to use this for automated…

Populations and Evolution · Quantitative Biology 2023-10-09 Hyunju Kim , Ayan Paul

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

Populations and Evolution · Quantitative Biology 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

We study the effects of switching social contacts as a strategy to control epidemic outbreaks. Connections between susceptible and infective individuals can be broken by either individual, and then reconnected to a randomly chosen member of…

Populations and Evolution · Quantitative Biology 2008-06-12 Sebastian Risau-Gusman , Damian H. Zanette

Contact Tracing (CT) is one of the measures taken by government and health officials to mitigate the spread of the novel coronavirus. In this paper, we investigate its efficacy by developing a compartmental model for assessing its impact on…

Populations and Evolution · Quantitative Biology 2021-11-23 T. A. Biala , Y. O. Afolabi , A. Q. M. Khaliq

Consider a Markovian SIR epidemic model in a homogeneous community. To this model we add a rate at which individuals are tested, and once an infectious individual tests positive it is isolated and each of their contacts are traced and…

Populations and Evolution · Quantitative Biology 2022-08-08 Dongni Zhang , Tom Britton

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei 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

Models for control of epidemics on local, global and small-world networks are considered, with only partial information accessible about the status of individuals and their connections. The main goal of an effective control measure is to…

Physics and Society · Physics 2007-05-23 A. Kleczkowski , B. Dybiec , C. A. Gilligan

Contact tracing is an important measure to counter the COVID-19 pandemic. In the early phase, many countries employed manual contact tracing to contain the rate of disease spread, however it has many issues. The manual approach is…

Cryptography and Security · Computer Science 2020-05-22 Rajan M A , Manish Shukla , Sachin Lodha

The ongoing COVID-19 pandemic is the first epidemic in human history in which digital contact-tracing has been deployed at a global scale. Tracking and quarantining all the contacts of individuals who test positive to a virus can help…

Physics and Society · Physics 2021-02-26 Aleix Bassolas , Andrea Santoro , Sandro Sousa , Silvia Rognone , Vincenzo Nicosia

Network-based models of epidemic spread have become increasingly popular in recent decades. Despite a rich foundation of such models, few low-dimensional systems for modeling SIS-type diseases have been proposed that manage to capture the…

Dynamical Systems · Mathematics 2021-01-01 Carl Corcoran , Alan Hastings

Proximity-based contact tracing relies on mobile-device interaction to estimate the spread of disease. ShareTrace is one such approach that improves the efficacy of tracking disease spread by considering direct and indirect forms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Ryan Tatton , Erman Ayday , Youngjin Yoo , Anisa Halimi

In this paper we make the first steps to bridge the gap between classic control theory and modern, network-based epidemic models. In particular, we apply nonlinear model predictive control (NMPC) to a pairwise ODE model which we use to…

Classical Analysis and ODEs · Mathematics 2014-02-11 Fanni Sélley , Ádám Besenyei , Istvan Z. Kiss , Péter L. Simon

The recent COVID-19 pandemic underscores the significance of early-stage non-pharmacological intervention strategies. The widespread use of masks and the systematic implementation of contact tracing strategies provide a potentially equally…

Populations and Evolution · Quantitative Biology 2024-09-02 A. P. Muntoni , F. Mazza , A. Braunstein , G. Catania , L. Dall'Asta

We introduce a Reed-Frost epidemic model with recursive contact tracing and asymptomatic transmission. This generalizes the branching-process model introduced by the authors in a previous work [arxiv:2004.07237] to finite populations and…

Statistical Mechanics · Physics 2021-08-18 Saumya Shivam , Vir B. Bulchandani , S. L. Sondhi

Intuitively, sampling is likely to be more efficient for prevalence estimation, if the cases (or positives) have a relatively higher representation in the sample than in the population. In case the virus is transmitted via personal…

Applications · Statistics 2020-11-18 Li-Chun Zhang

Contact (or mixing, or more generally connectivity) matrices are a fundamental component of modelling and inference for infectious disease epidemiology. Their structure and parametrisation directly accounts for the frequency of interactions…