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In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

The massive employment of computational models in network epidemiology calls for the development of improved inference methods for epidemic forecast. For simple compartment models, such as the Susceptible-Infected-Recovered model, Belief…

Physics and Society · Physics 2017-07-05 Jacopo Bindi , Alfredo Braunstein , Luca Dall'Asta

The accurate estimation of time-varying transmission rates is fundamental for understanding infectious disease dynamics and implementing effective public health interventions. To this end, we propose an improved inverse method for…

Populations and Evolution · Quantitative Biology 2025-12-17 Shuanglin Jing , Yuting Huang , Hai-Feng Huo

As the COVID-19 pandemic evolves, reliable prediction plays an important role for policy making. The classical infectious disease model SEIR (susceptible-exposed-infectious-recovered) is a compact yet simplistic temporal model. The…

Machine Learning · Computer Science 2020-10-20 Yunling Zheng , Zhijian Li , Jack Xin , Guofa Zhou

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…

Physics and Society · Physics 2015-06-09 Martin Dottori , Gabriel Fabricius

When an infection spreads in a community, an individual's probability of becoming infected depends on both her susceptibility and exposure to the contagion through contact with others. While one often has knowledge regarding an individual's…

Social and Information Networks · Computer Science 2017-12-05 Maggie Makar , John Guttag , Jenna Wiens

The basic reproduction number R0 -- the number of individuals directly infected by an infectious person in an otherwise susceptible population -- is arguably the most widely used estimator of how severe an epidemic outbreak can be. This…

Populations and Evolution · Quantitative Biology 2016-03-18 Petter Holme , Naoki Masuda

We prove a Central Limit Theorem for the proportion of infected individuals for an epidemic model by dealing with a discrete time system of simple random walks on a complete graph with n vertices. Each random walk makes a role of a virus.…

Probability · Mathematics 2010-11-17 F. Machado , H. Mashurian , H. Matzinger

Aalen's linear hazard rate regression model is a useful and increasingly popular alternative to Cox' multiplicative hazard rate model. It postulates that an individual has hazard rate function $h(s)=z_1\alpha_1(s)+\cdots+z_r\alpha_r(s)$ in…

Methodology · Statistics 2026-03-04 Nils Lid Hjort , Emil Aas Stoltenberg

Two simple agent based models are often employed in epidemic studies: the susceptible-infected (SI) and the susceptible-infected-susceptible (SIS). Both models describe the time evolution of infectious diseases in networks in which vertices…

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

This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

Optimization and Control · Mathematics 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter

The COVID-19 pandemic highlighted the need to improve the modeling, estimation, and prediction of how infectious diseases spread. SEIR-like models have been particularly successful in providing accurate short-term predictions. This study…

Populations and Evolution · Quantitative Biology 2024-12-31 Jorge P. Zubelli , Jennifer Loria , Vinicius V. L. Albani

A model of interacting agents, following plausible behavioral rules into a world where the Covid-19 epidemic is affecting the actions of everyone. The model works with (i) infected agents categorized as symptomatic or asymptomatic and (ii)…

Multiagent Systems · Computer Science 2021-08-23 Gianpiero Pescarmona , Pietro Terna , Alberto Acquadro , Paolo Pescarmona , Giuseppe Russo , Emilio Sulis , Stefano Terna

Computational models of infectious disease can be broadly categorized into two types: individual-based (Agent-based), or compartmental models. While compartmental models can be structured to separate distinct sectors of a population, they…

Populations and Evolution · Quantitative Biology 2021-12-14 Cameron Zachreson , Sheryl Chang , Nathan Harding , Mikhail Prokopenko

The coronavirus disease 2019 (COVID-19) pandemic has quickly become a global public health crisis unseen in recent years. It is known that the structure of the human contact network plays an important role in the spread of transmissible…

Social and Information Networks · Computer Science 2020-10-08 Abby Leung , Xiaoye Ding , Shenyang Huang , Reihaneh Rabbany

In real social networks, person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.…

Physics and Society · Physics 2020-05-12 Ignacio A. Perez , Paul A. Trunfio , Cristian E. La Rocca , Lidia A. Braunstein

The basic reproductive number -- $R_0$ -- is one of the most common and most commonly misapplied numbers in public health. Although often used to compare outbreaks and forecast pandemic risk, this single number belies the complexity that…

Populations and Evolution · Quantitative Biology 2020-04-15 Laurent Hébert-Dufresne , Benjamin M. Althouse , Samuel V. Scarpino , Antoine Allard

The ongoing COVID-19 pandemic calls for a multi-faceted public health response comprising complementary interventions to control the spread of the disease while vaccines and therapies are developed. Many of these interventions need to be…

Applications · Statistics 2020-08-24 Andres Colubri , Kailash Yadav , Abhishek Jha , Pardis C. Sabeti
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