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We propose a simple model of spreading of some infection in an originally healthy population which is different from other models existing in the literature. In particular, we use an operator technique which allows us to describe in a…

Populations and Evolution · Quantitative Biology 2020-10-29 F. Bagarello , F. Gargano , F. Roccati

LLM-based user agents, which simulate user interaction behavior, are emerging as a promising approach to enhancing recommender systems. In real-world scenarios, users' interactions often exhibit cross-domain characteristics and are…

Information Retrieval · Computer Science 2025-04-21 Jiahao Liu , Shengkang Gu , Dongsheng Li , Guangping Zhang , Mingzhe Han , Hansu Gu , Peng Zhang , Tun Lu , Li Shang , Ning Gu

Much traditional statistical modelling assumes that the outcome variables of interest are independent of each other when conditioned on the explanatory variables. This assumption is strongly violated in the case of infectious diseases,…

Populations and Evolution · Quantitative Biology 2019-11-28 Timothy Kinyanjui , Thomas House

Cluster randomized trials (CRTs) are a popular design to study the effect of interventions in infectious disease settings. However, standard analysis of CRTs primarily relies on strong parametric methods, usually mixed-effect models to…

Methodology · Statistics 2021-09-23 Chan Park , Hyunseung Kang

The advent of large language models (LLMs) has enabled agents to represent virtual humans in societal simulations, facilitating diverse interactions within complex social systems. However, existing LLM-based agents exhibit severe…

Artificial Intelligence · Computer Science 2025-10-16 Qun Ma , Xiao Xue , Xuwen Zhang , Zihan Zhao , Yuwei Guo , Ming Zhang

Epidemiological models can not only be used to forecast the course of a pandemic like COVID-19, but also to propose and design non-pharmaceutical interventions such as school and work closing. In general, the design of optimal policies…

Optimization and Control · Mathematics 2023-04-06 Jan-Hendrik Niemann , Samuel Uram , Sarah Wolf , Nataša Djurdjevac Conrad , Martin Weiser

Today's most troublesome population health challenges are often driven by social and environmental determinants, which are difficult to model using traditional epidemiological methods. We agree with those who have argued for the wider…

Multiagent Systems · Computer Science 2020-02-07 Eric Silverman , Umberto Gostoli , Stefano Picascia , Jonatan Almagor , Mark McCann , Richard Shaw , Claudio Angione

We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing…

Populations and Evolution · Quantitative Biology 2014-03-11 Joel C Miller , Istvan Z Kiss

We consider the edge-based compartmental models for infectious disease spread introduced in Part I. These models allow us to consider standard SIR diseases spreading in random populations. In this paper we show how to handle deviations of…

Populations and Evolution · Quantitative Biology 2015-09-03 Joel C. Miller , Erik M. Volz

This work leverages Large Language Models (LLMs) to simulate human mobility, addressing challenges like high costs and privacy concerns in traditional models. Our hierarchical framework integrates persona generation, activity selection, and…

Artificial Intelligence · Computer Science 2025-02-27 Chenlu Ju , Jiaxin Liu , Shobhit Sinha , Hao Xue , Flora Salim

Epidemic modeling is an essential tool to understand the spread of the novel coronavirus and ultimately assist in disease prevention, policymaking, and resource allocation. In this article, we establish a state of the art interface between…

Applications · Statistics 2020-12-17 Li Wang , Guannan Wang , Lei Gao , Xinyi Li , Shan Yu , Myungjin Kim , Yueying Wang , Zhiling Gu

We propose a new parametric time-varying shared frailty model to represent changes over time in population heterogeneity, for use with bivariate current status data. The model uses a power transformation of a time-invariant frailty $U$, and…

Applications · Statistics 2014-04-30 Doyo G. Enki , Angela Noufaily , C. Paddy Farrington

Modeling the spread of infections on networks is a well-studied and important field of research. Most infection and diffusion models require a real value or probability on the edges of the network as an input, but this is rarely available…

Social and Information Networks · Computer Science 2017-06-26 Andras Bota , Lauren Gardner

Two simple agent based models are often employed in epidemic studies: the susceptible-infected (SI) and the susceptible-infected-susceptible (SIS). Both models describe the time evolution of infectious diseases in networks in which vertices…

Large Language Models (LLMs) offer new opportunities to accelerate complex interdisciplinary research domains. Epidemic modeling, characterized by its complexity and reliance on network science, dynamical systems, epidemiology, and…

Social and Information Networks · Computer Science 2026-02-26 Mohammad Hossein Samaei , Faryad Darabi Sahneh , Lee W. Cohnstaedt , Caterina Scoglio

Understanding and controlling diffusion processes in complex networks is critical across domains ranging from epidemiology to information science. Here, we present ExDiff, an interactive and modular computational framework that integrates…

Social and Information Networks · Computer Science 2025-06-06 Annamaria Defilippo , Ugo Lomoio , Barbara Puccio , Pierangelo Veltri , Pietro Hiram Guzzi

Since infectious pathogens start spreading into a susceptible population, mathematical models can provide policy makers with reliable forecasts and scenario analyses, which can be concretely implemented or solely consulted. In these complex…

Numerical Analysis · Mathematics 2024-04-30 Giovanni Ziarelli , Nicola Parolini , Marco Verani

This study presents a neural network-enhanced approach to modeling disease spread dynamics over time and space. Neural networks are used to estimate time-varying parameters, with two calibration methods explored: Approximate Bayesian…

Quantitative Methods · Quantitative Biology 2024-10-29 Randy L. Caga-anan

Pandemics can cause immense disruption and damage to communities and societies. Thus far, modeling of pandemics has focused on either large-scale difference equation models like the SIR and the SEIR models, or detailed micro-level…

Multiagent Systems · Computer Science 2010-07-27 Teruhiko Yoneyama , Sanmay Das , Mukkai Krishnamoorthy

A contact-tracing strategy has been deemed necessary to contain the spread of COVID-19 following the relaxation of lockdown measures. Using an agent-based model, we explore one of the technology-based strategies proposed, a contact-tracing…

Computers and Society · Computer Science 2020-12-18 Jonatan Almagor , Stefano Picascia
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