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This paper gives an introduction to rule-based modelling applied to topics in infectious diseases. Rule-based models generalise reaction-based models with reagents that have internal state and may be bound together to form complexes, as in…

Populations and Evolution · Quantitative Biology 2021-08-10 William Waites , Matteo Cavaliere , David Manheim , Jasmina Panovska-Griffiths , Vincent Danos

Accurate forecasts of COVID-19 is central to resource management and building strategies to deal with the epidemic. We propose a heterogeneous infection rate model with human mobility for epidemic modeling, a preliminary version of which we…

Populations and Evolution · Quantitative Biology 2020-05-06 Ajitesh Srivastava , Viktor K. Prasanna

In order to model an epidemic, different approaches can be adopted. Mainly, the deterministic approach and the stochastic one. Recently, a large amount of literature has been published using the two approaches. The aim of this paper is to…

Populations and Evolution · Quantitative Biology 2023-01-30 Mohamed Mehdaoui

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

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

In recent years, epidemic policy-making models are increasingly being used to provide reference for governors on prevention and control policies against catastrophic epidemics such as SARS, H1N1 and COVID-19. Existing studies are currently…

Artificial Intelligence · Computer Science 2024-03-19 Zhiyi Tan , Bingkun Bao

Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the classical models fail to account for certain features of this…

Dynamical Systems · Mathematics 2023-08-21 Monique Chyba , Taylor Klotz , Yuriy Mileyko , Corey Shanbrom

Modeling dynamic temporal dependencies is a critical challenge in time series pre-training, which evolve due to distribution shifts and multi-scale patterns. This temporal variability severely impairs the generalization of pre-trained…

Machine Learning · Computer Science 2025-09-19 Yuemin Wu , Zhongze Wu , Xiu Su , Feng Yang , Hongyan Xu , Xi Lin , Wenti Huang , Shan You , Chang Xu

This paper presents a novel extension of the edge-based compartmental model for epidemics with arbitrary distributions of transmission and recovery times. Using the message passing approach we also derive a new pairwise-like model for…

Quantitative Methods · Quantitative Biology 2016-11-15 N. Sherborne , J. C. Miller , K. B. Blyuss , I. Z. Kiss

The adoption of containment measures to reduce the amplitude of the epidemic peak is a key aspect in tackling the rapid spread of an epidemic. Classical compartmental models must be modified and studied to correctly describe the effects of…

Populations and Evolution · Quantitative Biology 2021-05-18 G. Albi , L. Pareschi , M. Zanella

The subpopulationtion shift, characterized by a disparity in subpopulation distributibetween theween the training and target datasets, can significantly degrade the performance of machine learning models. Current solutions to subpopulation…

Compartmental epidemic models are among the most popular ones in epidemiology. For the parameters (e.g., the transmission rate) characterizing these models, the majority of researchers simplify them as constants, while some others manage to…

Machine Learning · Statistics 2020-06-02 Wenjie Zheng

Epidemic models are useful tools in the fight against infectious diseases, as they allow policy makers to test and compare various strategies to limit disease transmission while mitigating collateral damage on the economy. Epidemic models…

Populations and Evolution · Quantitative Biology 2021-08-18 Joseph D. Peterson , Ronojoy Adhikari

Tracking the spread of infectious disease during a pandemic has posed a great challenge to the governments and health sectors on a global scale. To facilitate informed public health decision-making, the concerned parties usually rely on…

Methodology · Statistics 2023-06-05 Tejasv Bedi , Yanxun Xu , Qiwei Li

This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

When surveillance data of infectious disease incidence (e.g. weekly case counts) are disaggregated by demographic indicators, disparities in long-run health outcomes between these groups become apparent. Accurate identification of high-risk…

Methodology · Statistics 2026-05-29 Miles Moran , Rob Trangucci , Lisa Madsen

Understanding how epidemics spread in a system is a crucial step to prevent and control outbreaks, with broad implications on the system's functioning, health, and associated costs. This can be achieved by identifying the elements at higher…

Physics and Society · Physics 2015-03-16 Eugenio Valdano , Chiara Poletto , Armando Giovannini , Diana Palma , Lara Savini , Vittoria Colizza

Epidemiological compartmental models are useful for understanding infectious disease propagation and directing public health policy decisions. Calibration of these models is an important step in offering accurate forecasts of disease…

Machine Learning · Computer Science 2023-12-12 Nikunj Gupta , Anh Mai , Azza Abouzied , Dennis Shasha

The vast majority of models for the spread of communicable diseases are parametric in nature and involve underlying assumptions about how the disease spreads through a population. In this article we consider the use of Bayesian…

Methodology · Statistics 2017-06-12 Theodore Kypraios , Philip D. O'Neill

Accurate epidemic forecasting is crucial for effective disease control and prevention. Traditional compartmental models often struggle to estimate temporally and spatially varying epidemiological parameters, while deep learning models…

Machine Learning · Computer Science 2025-04-08 Shuai Han , Lukas Stelz , Thomas R. Sokolowski , Kai Zhou , Horst Stöcker