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Edge-based percolation methods can be used to analyze disease transmission on complex social networks. This allows us to include complex social heterogeneity in our models while maintaining tractability. Here we review the seminal works on…

Social and Information Networks · Computer Science 2025-04-17 S. Zhao , F. M. G. Magpantay

Owing to the ongoing COVID-19 pandemic and other recent global epidemics, epidemic simulation frameworks are gaining rapid significance. In this work, we present a workflow that will allow researchers to simulate the spread of an infectious…

Social and Information Networks · Computer Science 2024-11-11 Reet Barik , Marco Minutoli , Mahantesh Halappanavar , Ananth Kalyanaraman

Recent advances in computational methods for intractable models have made network data increasingly amenable to statistical analysis. Exponential random graph models (ERGMs) emerged as one of the main families of models capable of capturing…

Computation · Statistics 2021-04-07 Alberto Caimo , Lampros Bouranis , Robert Krause , Nial Friel

Infectious diseases, either emerging or long-lasting, place numerous people at risk and bring heavy public health burdens worldwide. In the process against infectious diseases, predicting the epidemic risk by modeling the disease…

Machine Learning · Computer Science 2023-08-08 Mutong Liu , Yang Liu , Jiming Liu

We present a comprehensive R software ivmodel for analyzing instrumental variables with one endogenous variable. The package implements a general class of estimators called k- class estimators and two confidence intervals that are fully…

Applications · Statistics 2020-07-09 Hyunseung Kang , Yang Jiang , Qingyuan Zhao , Dylan S. Small

The COVID-19 pandemic has placed unprecedented demands on local public health units in Ontario, Canada, one of which was the need for in-house epidemiological-modelling capabilities. To address this need, Ontario Tech University and the…

Populations and Evolution · Quantitative Biology 2022-11-10 Eleodor Nichita , Mary-Anne Pietrusiak , Fangli Xie , Peter Schwanke , Anjali Pandya

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

In this study, we present an integro-differential model to simulate the local spread of infections. The model incorporates a standard susceptible-infected-recovered (\textit{SIR}-) model enhanced by an integral kernel, allowing for…

Dynamical Systems · Mathematics 2023-07-20 Moritz Schäfer , Karol Niedzielewski , Thomas Götz , Tyll Krüger

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a slower time scale than a second different process that could…

Dynamical Systems · Mathematics 2024-02-07 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

In Part 1, we introduced a stochastic model of an infectious disease, based on the BDI (birth and death with immigration) process. We showed that random processes defined by this model can capture the essence of the stochastic, often…

Populations and Evolution · Quantitative Biology 2021-01-28 Hisashi Kobayashi

It is critical to accurately simulate data when employing Monte Carlo techniques and evaluating statistical methodology. Measurements are often correlated and high dimensional in this era of big data, such as data obtained in…

During an infectious disease pandemic, it is critical to share electronic medical records or models (learned from these records) across regions. Applying one region's data/model to another region often have distribution shift issues that…

Machine Learning · Computer Science 2021-03-12 Ye Ye , Andrew Gu

Stochastic state-transition models of infectious disease transmission can be used to deduce relevant drivers of transmission when fitted to data using statistically principled methods. Fitting this individual-level data requires inference…

Methodology · Statistics 2026-02-12 James Neill , Lloyd A. C. Chapman , Chris Jewell

Epidemic forecasting is the key to effective control of epidemic transmission and helps the world mitigate the crisis that threatens public health. To better understand the transmission and evolution of epidemics, we propose EpiGNN, a graph…

Quantitative Methods · Quantitative Biology 2022-08-25 Feng Xie , Zhong Zhang , Liang Li , Bin Zhou , Yusong Tan

A numerical framework for the 'real-time' estimation of the infection risk from airborne diseases (e.g., SARS-CoV-2) in indoor spaces such as hospitals, restaurants, cinemas or teaching rooms is proposed. The developed model is based on the…

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even…

Physics and Society · Physics 2016-11-09 Helena Sofia Rodrigues

Partial differential equation (PDE) models for infectious disease have received renewed interest in recent years. Most models of this type extend classical compartmental formulations with additional terms accounting for spatial dynamics,…

Populations and Evolution · Quantitative Biology 2025-04-29 Pierluigi Colli , Gabriela Marinoschi , Elisabetta Rocca , Alex Viguerie

We develop a generalized group-based epidemic model (GgroupEM) framework for any compartmental epidemic model (for example; susceptible-infected-susceptible, susceptible-infected-recovered, susceptible-exposed-infected-recovered). Here, a…

Physics and Society · Physics 2019-08-19 Sifat Afroj Moon , Faryad Darabi Sahneh , Caterina Scoglio

We propose a framework for Bayesian non-parametric estimation of the rate at which new infections occur assuming that the epidemic is partially observed. The developed methodology relies on modelling the rate at which new infections occur…

Methodology · Statistics 2014-12-16 Edward S. Knock , Theodore Kypraios