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The role of epidemiological models is crucial for informing public health officials during a public health emergency, such as the COVID-19 pandemic. However, traditional epidemiological models fail to capture the time-varying effects of…

Methodology · Statistics 2022-06-17 Adam Spannaus , Theodore Papamarkou , Samantha Erwin , J. Blair Christian

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

We propose a novel approach to the statistical analysis of stochastic simulation models and, especially, agent-based models (ABMs). Our main goal is to provide fully automated, model-independent and tool-supported techniques and algorithms…

General Economics · Economics 2023-11-09 Andrea Vandin , Daniele Giachini , Francesco Lamperti , Francesca Chiaromonte

We examine the age-structured SIR model, a variant of the classical Susceptible-Infected-Recovered (SIR) model of epidemic propagation, in the context of COVID-19. In doing so, we provide a theoretical basis for the model, perform an…

Optimization and Control · Mathematics 2022-03-11 Rohit Parasnis , Ryosuke Kato , Amol Sakhale , Massimo Franceschetti , Behrouz Touri

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

In this paper, we conduct mathematical and numerical analyses to address the following crucial questions for COVID-19: (Q1) Is it possible to contain COVID-19? (Q2) When will be the peak and the end of the epidemic? (Q3) How do the…

Populations and Evolution · Quantitative Biology 2020-09-22 Yi-Cheng Chen , Ping-En Lu , Cheng-Shang Chang , Tzu-Hsuan Liu

The susceptible-infected-recovered (SIR) model has been used extensively to model disease spread and other processes. Despite the widespread usage of this ordinary differential equation (ODE) based model which represents the mean-field…

Dynamical Systems · Mathematics 2016-12-28 Ekkehard Beck , Benjamin Armbruster

In this paper, we propose a Susceptible-Infected-Removal (SIR) model with time fused coefficients. In particular, our proposed model discovers the underlying time homogeneity pattern for the SIR model's transmission rate and removal rate…

Applications · Statistics 2021-03-11 Hou-Cheng Yang , Yishu Xue , Yuqing Pan , Qingyang Liu , Guanyu Hu

We present two models for the COVID-19 pandemic predicting the impact of universal face mask wearing upon the spread of the SARS-CoV-2 virus--one employing a stochastic dynamic network based compartmental SEIR…

Physics and Society · Physics 2020-04-29 De Kai , Guy-Philippe Goldstein , Alexey Morgunov , Vishal Nangalia , Anna Rotkirch

Epidemiological models for the spread of pathogens in a population are usually only able to describe a single pathogen. This makes their application unrealistic in cases where multiple pathogens with similar symptoms are spreading…

Social and Information Networks · Computer Science 2018-05-16 Nir Levy , Michael Iv , Elad Yom-Tov

Intelligent agents offer a new and exciting way of understanding the world of work. Agent-Based Simulation (ABS), one way of using intelligent agents, carries great potential for progressing our understanding of management practices and how…

Artificial Intelligence · Computer Science 2010-07-05 Peer-Olaf Siebers , Uwe Aickelin , Helen Celia , Chris Clegg

In the last decade, humanity has faced many different pandemics such as SARS, H1N1, and presently novel coronavirus (COVID-19). On one side, scientists are focusing on vaccinations, and on the other side, there is a need to propose models…

Social and Information Networks · Computer Science 2020-04-29 Rahul Goel , Rajesh Sharma

In this paper, we present a susceptible-infected-recovered (SIR) model with individuals wearing facial masks and individuals who do not. The disease transmission rates, the recovering rates and the fraction of individuals who wear masks are…

Physics and Society · Physics 2021-06-01 Duan-Shin Lee , Miao Zhu

This study offers a new paradigm of individual-level modeling to address the grand challenge of incorporating human behavior in epidemic models. Using generative artificial intelligence in an agent-based epidemic model, each agent is…

Artificial Intelligence · Computer Science 2023-07-12 Ross Williams , Niyousha Hosseinichimeh , Aritra Majumdar , Navid Ghaffarzadegan

Advances in computing power and data availability have led to growing sophistication in mechanistic mathematical models of social dynamics. Increasingly these models are used to inform real-world policy decision-making, often with…

The SIR pandemic model suffers from an unrealistic assumption: The rate of removal from the infectious class of individuals is assumed to be proportional to the number of infectious individuals. This means that a change in the rate of…

Populations and Evolution · Quantitative Biology 2021-02-23 Paul A. Reiser

Model-free control strategies such as reinforcement learning have shown the ability to learn control strategies without requiring an accurate model or simulator of the world. While this is appealing due to the lack of modeling requirements,…

Robotics · Computer Science 2024-06-28 Marius Memmel , Andrew Wagenmaker , Chuning Zhu , Patrick Yin , Dieter Fox , Abhishek Gupta

Social networks are an important infrastructure for information, viruses and innovations propagation. Since users behavior has influenced by other users activity, some groups of people would be made regard to similarity of users interests.…

Social and Information Networks · Computer Science 2013-09-30 Hamidreza Sotoodeh , Farshad Safaei , Arghavan Sanei , Elahe Daei

The COVID-19 pandemic highlighted the need to improve the modeling, estimation, and prediction of how infectious diseases spread. SEIR-like models have been particularly successful in providing accurate short-term predictions. This study…

Populations and Evolution · Quantitative Biology 2024-12-31 Jorge P. Zubelli , Jennifer Loria , Vinicius V. L. Albani

In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by coupled nonlinear differential…

Classical Analysis and ODEs · Mathematics 2010-12-23 G. Shabbir , H. Khan , M. A. Sadiq
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