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Article
Mathematics, Applied
Nicola Bellomo et al.
Summary: The first part of the paper provides a general survey on the modeling, analytic problems, and applications of human crowd dynamics, taking into account the specific features of living systems. This critical analysis leads to the second part, which focuses on research perspectives including modeling social dynamics, multiscale problems, and the relationship between crowds and swarm modeling.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Marcelo Bongarti et al.
Summary: In this paper, two ways of understanding and quantifying the effect of non-compliance to non-pharmaceutical intervention measures on the spread of infectious diseases are proposed using modified versions of the SIAR model. The first modification assumes a known proportion of the population does not comply with government mandates, while the second modification treats non-compliant behavior as a social contagion. The paper also explores different scenarios and provides local and asymptotic analyses for both models.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Natalia Luca Kontorovsky et al.
Summary: In this study, we investigate the spread of a disease in a population with different levels of awareness. We introduce a government agent that aims to control the average awareness level to ensure the eradication of the disease. By proposing three levels of analysis, we derive nonlinear systems of equations to describe the evolution of the disease and the response of the government.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Ryan Weightman et al.
Summary: The COVID-19 pandemic prompted researchers to study pandemic modeling with considerations for various characteristics and virus mutation dynamics. Two mathematical models were proposed to study the effects of virus mutations, with the first model reproducing pandemic waves caused by different variants and the second model including reinfections with genetically similar variants.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Henrique A. Tortura et al.
Summary: The breakdown of trusted sources of information is a serious problem that hinders problem-solving in the contemporary world. The COVID-19 pandemic is an example where disinformation has led to failure and hindered effective communication. Research shows that disinformation erodes trust and prevents information sharing among individuals.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Giuseppe Toscani
Summary: This article introduces a class of one-dimensional linear kinetic equations of Boltzmann and Fokker-Planck type, which describe the dynamics of consumer spending transactions in a multi-agent society. It discusses how the presence of social distancing laws during an epidemic can reduce the volume of economic commercial activities. The article also explores the coupling of economic description with the evolution equations of a new SIR-type compartmental epidemic system.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
D. Burini et al.
Summary: This paper deals with the micro-macro-derivation of virus models coupled with a reaction-diffusion system and summarizes the phenomenological models known in the literature. It also shows how to derive macroscopic models from the underlying description delivered by the kinetic theory of active particles and discusses various virus models coupled with the reaction-diffusion systems. A forward look to research perspectives is proposed.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Giulia Bertaglia et al.
Summary: When investigating epidemic dynamics through differential models, the parameters and forecast scenarios require delicate calibration due to the scarcity and uncertainty of official observed data. Physics-Informed Neural Networks (PINNs) can effectively address the inverse and forward problem of data-driven learning by embedding the knowledge of the differential model. However, in cases with multiple scales, a direct application of PINNs leads to poor results due to the multiscale nature of the differential model in the loss function. To address this, a new class of Asymptotic-Preservation Neural Networks (APNNs) is proposed for multiscale transport models of epidemic spread, which works uniformly at different scales thanks to the appropriate AP formulation of the loss function. Numerical tests confirm the validity of the approach for different epidemic scenarios, highlighting the importance of the AP property in neural networks for dealing with multiscale problems.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Interdisciplinary Applications
Nicola Bellomo et al.
Summary: This paper focuses on multiscale modeling of the COVID-19 pandemic, presenting further developments of the model to show how relaxations of confinement rules can lead to sequential waves and model the dynamics of mutations into new variants. Simulations are also developed to support decision-making by crisis managers.
NETWORKS AND HETEROGENEOUS MEDIA
(2022)
Article
Mathematics, Applied
Kaiyan Peng et al.
Summary: In this study, we constructed a two-layer multiplex network for the coupled spread of disease and conflicting opinions. We found that opinion dynamics can influence disease transmission, lengthening the duration of holding an opinion may suppress disease transmission, and increasing cross-layer or intra-layer correlations of node degrees may reduce the number of individuals infected with the disease.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Maira Aguiar et al.
Summary: This paper presents a model to evaluate alternative lockdown policies and vaccination strategies in combating the COVID-19 pandemic. The study finds that social distancing targeting reduction of contacts among the most vulnerable nodes is more effective. Vaccination policies targeting the most vulnerable individuals can effectively reduce severe cases and deaths.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
N. Bellomo et al.
Summary: This editorial paper introduces the papers published in a special issue dedicated to modeling and simulating mutating virus pandemics in a globally connected world, covering motivations and objectives, the content of the papers, and a critical analysis of the overall contents.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Franco Flandoli et al.
Summary: A Markov chain individual-based model is used to study virus diffusion, taking into account virus growth within individuals and the complexity of contagion within a population. Careful parameter choice captures the statistical variability of quantities like incubation period, serial interval, and time series of infected people in Tuscany towns accurately.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
News Item
Multidisciplinary Sciences
Ewen Callaway
Summary: As the first clinical trials in young children begin, scientists are focusing on what they want to learn from these trials.
Article
Mathematics, Applied
Nicola Bellomo et al.
Summary: This paper discusses the mathematical modeling of living systems composed of many interacting entities in order to describe their collective behaviors. The approach is developed within the framework of the kinetic theory of active particles, with the presentation divided into three parts: deriving mathematical tools, applying the method to case studies, and looking forward to future research directions.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Virology
Syed Faraz Ahmed et al.
Review
Immunology
Nicolas Vabret et al.
Article
Multidisciplinary Sciences
Marino Gatto et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2020)
Article
Multidisciplinary Sciences
Stephen M. Kissler et al.
News Item
Multidisciplinary Sciences
David Cyranoski
Editorial Material
Critical Care Medicine
Maurizio Cecconi et al.
INTENSIVE CARE MEDICINE
(2020)
Article
Mathematics, Applied
Nicola Bellomo et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2020)
Article
Multidisciplinary Sciences
Andrea L. Bertozzi et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2020)
Article
Mathematics, Applied
Daewa Kim et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2020)
Article
Mathematics, Applied
D. Burini et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2019)
Article
Mathematics, Applied
Nicola Bellomo et al.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2019)
Article
Mathematics, Applied
N. Bellomo et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2016)
