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Predicting Pandemics in a Globally Connected World, Volume 1

Toward a Multiscale, Multidisciplinary Framework through Modeling and Simulation

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  • © 2022

Overview

Editors:
  1. Nicola Bellomo

    1. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

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  2. Mark A. J. Chaplain

    1. School of Mathematics and Statistics, University of St. Andrews, St. Andrews, UK

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  • Investigates mathematical techniques for the modeling and simulation of viral pandemics
  • Offers an interdisciplinary approach to study the social and economic impacts of the COVID-19 pandemic
  • Presents a multiscale framework at the level of both individuals and virus particles

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
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  2. Modelling, Simulations, and Social Impact of Evolutionary Virus Pandemics

    • Nicola Bellomo, Diletta Burini, Mark A. J. Chaplain, Nisrine Outada
    Pages 1-10

  3. Understanding COVID-19 Epidemics: A Multi-Scale Modeling Approach

    • Maíra Aguiar, Vizda Anam, Nicole Cusimano, Damián Knopoff, Nico Stollenwerk
    Pages 11-42

  4. Kinetic Modelling of Epidemic Dynamics: Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics

    • Giacomo Albi, Giulia Bertaglia, Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi, Giuseppe Toscani et al.
    Pages 43-108

  5. The COVID-19 Pandemic Evolution in Hawai‘i and New Jersey: A Lesson on Infection Transmissibility and the Role of Human Behavior

    • Sarah Allred, Monique Chyba, James M. Hyman, Yuriy Mileyko, Benedetto Piccoli
    Pages 109-140

  6. A Novel Point Process Model for COVID-19: Multivariate Recursive Hawkes Process

    • Bohan Chen, Pujan Shrestha, Andrea L. Bertozzi, George Mohler, Frederic Schoenberg
    Pages 141-182

  7. Multiscale Aspects of Virus Dynamics

    • Franco Flandoli, Eleonora La Fauci, Martina Riva
    Pages 183-212

  8. Productivity in Times of Covid-19: An Agent-Based Model Approach

    • José F. Fontanari
    Pages 213-231

  9. Transmission Dynamics and Quarantine Control of COVID-19 in Cluster Community

    • Qingwu Gao, Jun Zhuang, Ting Wu, Houcai Shen
    Pages 233-264

  10. A 2D Kinetic Model for Crowd Dynamics with Disease Contagion

    • Daewa Kim, Annalisa Quaini
    Pages 265-284

  11. Multiscale Derivation of a Time-Dependent SEIRD Reaction–Diffusion System for COVID-19

    • Mohamed Zagour
    Pages 285-306
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Keywords

About this book

This contributed volume investigates several mathematical techniques for the modeling and simulation of viral pandemics, with a special focus on COVID-19.  Modeling a pandemic requires an interdisciplinary approach with other fields such as epidemiology, virology, immunology, and biology in general.  Spatial dynamics and interactions are also important features to be considered, and a multiscale framework is needed at the level of individuals and the level of virus particles and the immune system.  Chapters in this volume address these items, as well as offer perspectives for the future.



Editors and Affiliations

  • Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Nicola Bellomo

  • School of Mathematics and Statistics, University of St. Andrews, St. Andrews, UK

    Mark A. J. Chaplain

About the editors

Nicola Bellomo is Distinguished Professor at the University of Granada and professor emeritus at the Polytechnic University of Torino. He started his research activity with studies on the mathematical theory of the Boltzmann equation and of stochastic differential equations. Subsequently, he moved his scientific interests to the study of living systems becoming one of the pioneers of the development of active particles methods to the modeling of large systems of self-propelled interacting entities, specifically multicellular systems, crowds and swarms. He is editor in Chief of Journals: “Mathematical Models and Methods in Applied Sciences” (with Franco Brezzi).


Mark A. J. Chaplain holds The Gregory Chair of Applied Mathematics at the University of St Andrews. He started his research activities during his PhD developing various reaction-diffusion-type partial differential equation models for the growth of avascular solid tumours. Since then modelling cancer growth and treatment has remained his main research interest. Much of his more recent research focus has been on developing novel multiscale models of cancer growth, by incorporating effects at different spatial and temporal scales into a single model (e.g. intracellular, cellular and tissues scales). He is one of the co-Chief Editors of the “Journal of Theoretical Biology” (with Denise Kirschner and Akira Sasaki) and is the Mathematics Section Editor for the “Royal Society Open Science” journal.

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