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This paper is concerned with a stochastic model for the spread of an SEIR (susceptible -> exposed (=latent) -> infective -> removed) epidemic with a contact tracing scheme, in which removed individuals may name some of their infectious…

Probability · Mathematics 2015-12-08 Frank G Ball , Edward S Knock , Philip D O'Neill

Regression discontinuity design (RDD) is a quasi-experimental approach to study the causal effects of an intervention/treatment on later health outcomes. It exploits a continuously measured assignment variable with a clearly defined cut-off…

Applications · Statistics 2024-06-28 Maja Popovic , Daniela Zugna , Lorenzo Richiardi

We study a simple model of epidemics where an infected node transmits the infection to its neighbors independently with probability $p$. This is also known as the independent cascade or Susceptible-Infected-Recovered (SIR) model with fixed…

Data Structures and Algorithms · Computer Science 2021-10-19 Yeganeh Alimohammadi , Christian Borgs , Amin Saberi

From social networks to P2P systems, network sampling arises in many settings. We present a detailed study on the nature of biases in network sampling strategies to shed light on how best to sample from networks. We investigate connections…

Social and Information Networks · Computer Science 2011-09-20 Arun S. Maiya , Tanya Y. Berger-Wolf

We investigate saturation effects in susceptible-infected-susceptible (SIS) models of the spread of epidemics in heterogeneous populations. The structure of interactions in the population is represented by networks with connectivity…

Statistical Mechanics · Physics 2009-11-10 Jaewook Joo , Joel L. Lebowitz

The extinction and persistence of infective individuals are closely related to the random change of the environment. In this paper, via the random/stochastic SIRS models, we analyze qualitatively and quantitatively the impact caused by the…

Probability · Mathematics 2018-10-01 Jianhai Bao , Jinghai Shao

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

Iterative data generation and model re-training can effectively align large language models(LLMs) to human preferences. The process of data sampling is crucial, as it significantly influences the success of policy improvement. Repeated…

Computation and Language · Computer Science 2024-10-07 Hai Ye , Hwee Tou Ng

Most models of epidemic spread, including many designed specifically for COVID-19, implicitly assume mass-action contact patterns and undirected contact networks, meaning that the individuals most likely to spread the disease are also the…

Using a probability of novel encounter derived from a physical model, we augment the SIR compartmental model for disease spread. Scenarios with the same initial trajectories and identical $R_0$ values can diverge greatly depending on the…

Populations and Evolution · Quantitative Biology 2020-06-15 Peter Cotton

The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do…

Social and Information Networks · Computer Science 2014-10-22 M. S. S. Khan

Using the continuous-time susceptible-infected-susceptible (SIS) model on networks, we investigate the problem of inferring the class of the underlying network when epidemic data is only available at population-level (i.e. the number of…

Populations and Evolution · Quantitative Biology 2019-12-05 F. Di Lauro , J. -C. Croix , M. Dashti , L. Berthouze , I. Z. Kiss

Traditional approaches to variational inference rely on parametric families of variational distributions, with the choice of family playing a critical role in determining the accuracy of the resulting posterior approximation. Simple…

Machine Learning · Statistics 2023-09-27 Martin Jankowiak , Du Phan

After the introduction of drastic containment measures aimed at stopping the epidemic contagion from SARS-CoV2, many governments have adopted a strategy based on a periodic relaxation of such measures in the face of a severe economic crisis…

Populations and Evolution · Quantitative Biology 2021-06-10 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

We propose a novel multi-scale modeling framework for infectious disease spreading, borrowing ideas and modeling tools from the so-called Refractory Density (RD) approach. We introduce a microscopic model that describes the probability of…

Populations and Evolution · Quantitative Biology 2025-03-24 Anton Chizhov , Laurent Pujo-Menjouet , Tilo Schwalger , Mattia Sensi

We propose an epidemic compartment model, which includes mortality caused by the disease, but excludes demographic birth and death processes. Individuals are represented by random walkers, which are in one of the following states…

We investigate final outcome properties of an SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a population of large sub-communities in which there is stronger disease transmission within the communities than…

Probability · Mathematics 2024-04-08 Frank Ball , David Sirl , Pieter Trapman

The spreading of an infectious disease can trigger human behavior responses to the disease, which in turn plays a crucial role on the spreading of epidemic. In this study, to illustrate the impacts of the human behavioral responses, a new…

Physics and Society · Physics 2015-09-30 Can Liu , Jia-Rong Xie , Han-Shuang Chen , Hai-Feng Zhang , Ming Tang

Compartmental models are the most widely used framework for modeling infectious diseases. These models have been continuously refined to incorporate all the realistic mechanisms that can shape the course of an epidemic outbreak. Building on…

Compartmental models of epidemics are widely used to forecast the effects of communicable diseases such as COVID-19 and to guide policy. Although it has long been known that such processes take place on social networks, the assumption of…

Physics and Society · Physics 2024-03-14 Samuel Johnson
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