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  • © 2022

COVID-19 Epidemiology and Virus Dynamics

Nonlinear Physics and Mathematical Modeling

Authors:

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  • Analyzes quantitatively COVID-19 outbreaks in various countries around the globe

  • Makes use of mathematical models of epidemiology such as the SIR and SEIR models

  • Discusses the impacts of measures implemented to stop the spread of COVID-19 disease

Part of the book series: Understanding Complex Systems (UCS)

  • 1098 Accesses

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  • ISBN: 978-3-030-97178-6
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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Till D. Frank
    Pages 1-16
  3. Nonlinear Physics and Synergetics

    • Till D. Frank
    Pages 17-52
  4. Nonlinear Physics of Epidemics: Part A

    • Till D. Frank
    Pages 83-118
  5. Nonlinear Physics of Epidemics: Part B

    • Till D. Frank
    Pages 119-167
  6. Nonlinear Physics of Epidemics: Part C

    • Till D. Frank
    Pages 169-192
  7. Model-Based Reproduction Numbers

    • Till D. Frank
    Pages 193-216
  8. Modeling Interventions

    • Till D. Frank
    Pages 217-282
  9. Models of Virus Dynamics

    • Till D. Frank
    Pages 283-306
  10. Back Matter

    Pages 353-355

About this book

This book addresses the COVID-19 pandemic from a quantitative perspective based on mathematical models and methods largely used in nonlinear physics. It aims to study COVID-19 epidemics in countries and SARS-CoV-2 infections in individuals from the nonlinear physics perspective and to model explicitly COVID-19 data observed in countries and virus load data observed in COVID-19 patients.

The first part of this book provides a short technical introduction into amplitude spaces given by eigenvalues, eigenvectors, and amplitudes.In the second part of the book, mathematical models of epidemiology are introduced such as the SIR and SEIR models and applied to describe COVID-19 epidemics in various countries around the world. In the third part of the book, virus dynamics models are considered and applied to infections in COVID-19 patients.

This book is written for researchers, modellers, and graduate students in physics and medicine, epidemiology and virology, biology, applied mathematics, and computer sciences. This book identifies the relevant mechanisms behind past COVID-19 outbreaks and in doing so can help efforts to stop future COVID-19 outbreaks and other epidemic outbreaks. Likewise, this book points out the physics underlying SARS-CoV-2 infections in patients and in doing so supports a physics perspective to address human immune reactions to SARS-CoV-2 infections and similar virus infections.

Keywords

  • Prevention of COVID-19 virus transmission
  • Self-organization in contagious diseases
  • Beyond COVID-19
  • Bifurcation theory
  • SEIR model (Susceptible-Exposed-Infective-Recovered)
  • Mathematical principles of immunology and virology
  • Transmission dynamics

Authors and Affiliations

  • Department of Psychological Sciences, University of Connecticut, Storrs, USA

    Till D. Frank

About the author

Till D. Frank received his diploma in physics from the University of Stuttgart in 1996 under the supervision of Prof. Hermann Haken. He obtained his Ph.D. in Human Movement Sciences from the Vrije Universiteit Amsterdam in 2001, and his Habilitation in Physics from the University of M√ľnster in 2006. He is currently Associate Professor at the University of Connecticut affiliated with both the Department of Psychological Sciences and the Department of Physics.


Bibliographic Information

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-97178-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book
USD 149.99
Price excludes VAT (USA)