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The COVID-19 pandemic highlighted the critical role of human behavior in influencing infectious disease transmission and the need for models capturing this complex dynamic. We present an agent-based model integrating an epidemiological…

Social and Information Networks · Computer Science 2023-12-07 Konstantinos Mitsopoulos , Lawrence Baker , Christian Lebiere , Peter Pirolli , Mark Orr , Raffaele Vardavas

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

Numerical Analysis · Mathematics 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

Accurate forecasts of disease outbreaks are critical for effective public health responses, management of healthcare surge capacity, and communication of public risk. There are a growing number of powerful forecasting methods that fall into…

A physics-informed neural network (PINN) embedded with the susceptible-infected-removed (SIR) model is devised to understand the temporal evolution dynamics of infectious diseases. Firstly, the effectiveness of this approach is demonstrated…

Quantitative Methods · Quantitative Biology 2025-04-08 Shuai Han , Lukas Stelz , Horst Stoecker , Lingxiao Wang , Kai Zhou

Influenza remains a significant burden on health systems. Effective responses rely on the timely understanding of the magnitude and the evolution of an outbreak. For monitoring purposes, data on severe cases of influenza in England are…

Epidemiological forecasting from surveillance data is a hard problem and hybridizing mechanistic compartmental models with neural models is a natural direction. The mechanistic structure helps keep trajectories epidemiologically plausible,…

Machine Learning · Computer Science 2026-02-09 Yiqi Su , Ray Lee , Jiaming Cui , Naren Ramakrishnan

Interpretable mathematical expressions defining discrete-time dynamical systems (iterated maps) can model many phenomena of scientific interest, enabling a deeper understanding of system behaviors. Since formulating governing expressions…

Machine Learning · Computer Science 2024-06-12 Adarsh Iyer , Nibodh Boddupalli , Jeff Moehlis

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the…

Analysis of PDEs · Mathematics 2023-06-28 Christoph Walker

High quality epidemiological modelling is essential in order to combat the spread of infectious diseases. In this contribution, we present SimPLoID, an epidemiological modelling framework based on the probabilistic logic programming…

Programming Languages · Computer Science 2023-12-05 Felix Weitkämper , Ameen Almiftah , Kailin Sun

An accurate and efficient forecasting system is imperative to the prevention of emerging infectious diseases such as COVID-19 in public health. This system requires accurate transient modeling, lower computation cost, and fewer observation…

Machine Learning · Computer Science 2021-01-26 Dongdong Wang , Shunpu Zhang , Liqiang Wang

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

Physics and Society · Physics 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

The review is devoted to analysis of mathematical models used for describing epidemic processes. A main focus is done on the models that are based on partial differential equations (PDEs), especially those that were developed and used for…

Populations and Evolution · Quantitative Biology 2024-03-01 Vasyl' Davydovych , Vasyl' Dutka , Roman Cherniha

The study of infectious disease propagation is essential for understanding and controlling epidemics. One of the most useful tools for gaining insights into the spread of infectious diseases is mathematical modelling. In terms of…

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…

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Infectious diseases are a significant public health concern globally, and extracting relevant information from scientific literature can facilitate the development of effective prevention and treatment strategies. However, the large amount…

Computation and Language · Computer Science 2023-03-24 Shaina Raza , Syed Raza Bashir

In this survey we report some recent results in the mathematical modeling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction between agents in which social characteristics play a key role…

Populations and Evolution · Quantitative Biology 2023-09-11 Giacomo Albi , Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

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

Visual analytics tools can help illustrate the spread of infectious diseases and enable informed decisions on epidemiological and public health issues. To create visualisation tools that are intuitive, easy to use, and effective in…

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

Artificial Intelligence · Computer Science 2015-03-13 Yoshiharu Maeno
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