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Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

We propose an integral model describing an epidemic of an infectious disease. The model is behavioural in the sense that the constitutive law for the force of infection includes a distributed delay, called "information index", that…

Dynamical Systems · Mathematics 2024-05-31 Bruno Buonomo , Eleonora Messina , Claudia Panico , Antonia Vecchio

Background: Over the past few decades, numerous forecasting methods have been proposed in the field of epidemic forecasting. Such methods can be classified into different categories such as deterministic vs. probabilistic, comparative…

The COVID-19 pandemic has posed a heavy burden to the healthcare system worldwide and caused huge social disruption and economic loss. Many deep learning models have been proposed to conduct clinical predictive tasks such as mortality…

Machine Learning · Computer Science 2024-01-24 Junyi Gao , Yinghao Zhu , Wenqing Wang , Yasha Wang , Wen Tang , Ewen M. Harrison , Liantao Ma

Large Language Models (LLMs) enable unprecedented social science experimentation by creating controlled hybrid human-AI environments. We introduce Epitome (www.epitome-ai.com), an open experimental platform that operationalizes this…

Computers and Society · Computer Science 2025-12-25 Jingjing Qu , Kejia Hu , Jun Zhu , Yulei Ye , Wenhao Li , Teng Wang , Zhiyun Chen , Chaochao Lu , Aimin Zhou , Xiangfeng Wang , Xia Hu , James Evans

Electronic Health Records present a valuable modality for driving personalized medicine, where treatment is tailored to fit individual-level differences. For this purpose, many data-driven machine learning and statistical models rely on the…

Machine Learning · Computer Science 2024-12-16 Ghadeer O. Ghosheh , Jin Li , Tingting Zhu

Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to investigate the transmission and spread of infectious…

Irregular time series, where data points are recorded at uneven intervals, are prevalent in healthcare settings, such as emergency wards where vital signs and laboratory results are captured at varying times. This variability, which…

Machine Learning · Computer Science 2024-10-16 Hrishikesh Patel , Ruihong Qiu , Adam Irwin , Shazia Sadiq , Sen Wang

Epidemic forecasting has become an integral part of real-time infectious disease outbreak response. While collaborative ensembles composed of statistical and machine learning models have become the norm for real-time forecasting,…

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Understanding age-group dynamics of infectious diseases is a fundamental issue for both scientific study and policymaking. Age-structure epidemic models were developed in order to study and improve our understanding of these dynamics. By…

Populations and Evolution · Quantitative Biology 2019-11-22 Rami Yaari , Amit Huppert , Itai Dattner

This paper introduces a novel hybrid model combining Partial Differential Equations (PDEs) and Ordinary Differential Equations (ODEs) to simulate infectious disease dynamics across geographic regions. By leveraging the spatial detail of…

Dynamical Systems · Mathematics 2025-11-18 Kristina Kehrer , Martin Weiser , Tim Conrad

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

The successful application of epidemic models hinges on our ability to estimate model parameters from limited observations reliably. An often-overlooked step before estimating model parameters consists of ensuring that the model parameters…

Quantitative Methods · Quantitative Biology 2023-09-29 Gerardo Chowell , Sushma Dahal , Yuganthi R. Liyanage , Amna Tariq , Necibe Tuncer

Epidemic models often reflect characteristic features of infectious spreading processes by coupled non-linear differential equations considering different states of health (such as Susceptible, Infected, or Recovered). This compartmental…

Physics and Society · Physics 2021-12-01 Vaiva Vasiliauskaite , Nino Antulov-Fantulin , Dirk Helbing

Pandemic management requires that scientists rapidly formulate and analyze epidemiological models in order to forecast the spread of disease and the effects of mitigation strategies. Scientists must modify existing models and create novel…

Programming Languages · Computer Science 2022-10-12 Sophie Libkind , Andrew Baas , Micah Halter , Evan Patterson , James Fairbanks

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

Scientific advice to the UK government throughout the COVID-19 pandemic has been informed by ensembles of epidemiological models provided by members of the Scientific Pandemic Influenza group on Modelling (SPI-M). Among other applications,…

Applications · Statistics 2021-08-13 D. S. Silk , V. E. Bowman , D. Semochkina , U. Dalrymple , D. C. Woods

Advancing epidemic dynamics forecasting is vital for targeted interventions and safeguarding public health. Current approaches mainly fall into two categories: mechanism-based and data-driven models. Mechanism-based models are constrained…

Machine Learning · Computer Science 2025-08-05 Rui Sun , Chenghua Gong , Tianjun Gu , Yuhao Zheng , Jie Ding , Juyuan Zhang , Liming Pan , Linyuan Lü

In this paper we propose a macro-dynamic age-structured set-up for the analysis of epidemics/economic dynamics in continuous time. The resulting optimal control problem is reformulated in an infinite dimensional Hilbert space framework…

Theoretical Economics · Economics 2020-08-18 Giorgio Fabbri , Fausto Gozzi , Giovanni Zanco