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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

For a two-dimensional system of agents modeled by molecular dynamics, we simulate epidemics spreading, which was recently studied on complex networks. Our resulting network model is time-evolving. We study the transitions to spreading as…

Statistical Mechanics · Physics 2009-11-10 M. C. Gonzalez , H. J. Herrmann

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

In winter of 2020, SARS-CoV-2 emerged as a global threat, impacting not only health but also financial and political stability. To address the societal need for monitoring the spread of SARS-CoV-2, many existing diagnostic technologies were…

The Covid-19 pandemic has taken millions of lives, demonstrating the tragedy and disruption of respiratory diseases, and how difficult they can be to manage. However, there is still significant debate in the scientific community as to which…

Dynamical Systems · Mathematics 2021-09-03 Panagiotis Demis , Ishanki De Mel , Hayley Wragg , Michael Short , Oleksiy V. Klymenko

We propose a Markovian stochastic approach to model the spread of a SARS-CoV-2-like infection within a closed group of humans. The model takes the form of a Partially Observable Markov Decision Process (POMDP), whose states are given by the…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Luigi Palopoli , Daniele Fontanelli , Marco Frego , Marco Roveri

During 2020 and 2021, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) transmission has been increasing amongst the world's population at an alarming rate. Reducing the spread of SARS-CoV-2 and other diseases that are spread in…

Social and Information Networks · Computer Science 2022-03-22 Patrick Urrutia , David Wren , Chrysafis Vogiatzis , Ruriko Yoshida

Understanding the spread of SARS-CoV-2 has been one of the most pressing problems of the recent past. Network models present a potent approach to studying such spreading phenomena because of their ability to represent complex social…

Social and Information Networks · Computer Science 2023-11-01 Christine Hedde-von Westernhagen , Javier Garcia-Bernardo , Ayoub Bagheri

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

Methodology · Statistics 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

We recently described a dynamic causal model of a COVID-19 outbreak within a single region. Here, we combine several of these (epidemic) models to create a (pandemic) model of viral spread among regions. Our focus is on a second wave of new…

Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating additional complexities such as the introduction of a cure and…

Populations and Evolution · Quantitative Biology 2025-10-30 Daniel Perkins , Davis Hunter , Drake Brown , Trevor Garrity , Wyatt Pochman

A central pillar of the UK's response to the SARS-CoV-2 pandemic was the provision of up-to-the moment nowcasts and short term projections to monitor current trends in transmission and associated healthcare burden. Here we present a…

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

We consider the SEIRS epidemiology model with such features of the COVID-19 outbreak as: abundance of unidentified infected individuals, limited time of immunity and a possibility of vaccination. The control of the pandemic dynamics is…

Populations and Evolution · Quantitative Biology 2026-03-31 J. Ilnytskyi , T. Patsahan

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

A plethora of prediction models of SARS-CoV-2 pandemic were proposed in the past. Prediction performances not only depend on the structure and features of the model, but also on its parametrization. Official databases are often biased due…

Populations and Evolution · Quantitative Biology 2021-09-27 Yuri Kheifetz , Holger Kirsten , Markus Scholz

Currently, the world seeks to find appropriate mitigation techniques to control and prevent the spread of the new SARS-CoV-2. In our paper herein, we present a peculiar Multi-Task Learning framework that jointly predicts the effect of…

Machine Learning · Computer Science 2021-08-24 Bonaventure Chidube Molokwu , Shaon Bhatta Shuvo , Ziad Kobti , Anne Snowdon

The novel coronavirus SARS-CoV-2 has rapidly emerged as a significant threat to global public health, in particular because -- as is not uncommon with novel pathogens -- there is no effective pharmaceutical treatment or prophylaxis to the…

Applications · Statistics 2020-07-29 Chris von Csefalvay

SARS-CoV-2 causing COVID-19 disease has moved rapidly around the globe, infecting millions and killing hundreds of thousands. The basic reproduction number, which has been widely used and misused to characterize the transmissibility of the…

Populations and Evolution · Quantitative Biology 2020-05-29 Benjamin M. Althouse , Edward A. Wenger , Joel C. Miller , Samuel V. Scarpino , Antoine Allard , Laurent Hébert-Dufresne , Hao Hu

The COVID-19 pandemic has brought forth the importance of epidemic forecasting for decision makers in multiple domains, ranging from public health to the economy as a whole. While forecasting epidemic progression is frequently…

Machine Learning · Computer Science 2022-07-21 Alexander Rodríguez , Harshavardhan Kamarthi , Pulak Agarwal , Javen Ho , Mira Patel , Suchet Sapre , B. Aditya Prakash