COVID-19 epidemiology and virus dynamics: nonlinear physics and mathematical modeling / Till D. Frank.
Frank, Till Daniel.
2022
RA644.C67
Available Online

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Title COVID-19 epidemiology and virus dynamics: nonlinear physics and mathematical modeling / Till D. Frank.
Author Frank, Till Daniel.
ISBN 9783030971786 (electronic bk.)
3030971783 (electronic bk.)
3030971775
9783030971779
DOI https://doi.org/10.1007/978-3-030-97178-6
Imprint Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource
Other Standard Identifiers 10.1007/978-3-030-97178-6 doi
Call Number RA644.C67
Dewey Decimal Classification 614.5/92414
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 5, 2022).
Series Understanding complex systems, 1860-0840
Springer complexity.
Available in Other Form Print version: 9783030971779
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Chapter 1. Introduction
Chapter 2. Nonlinear physics and synergetics
Chapter 3. Epidemiological models and COVID-19 epidemics
Chapter 4. Nonlinear physics of epidemics: part A
Chapter 5. Nonlinear physics of epidemics: part B
Chapter 6. Nonlinear physics of epidemics: part C
Chapter 7. Model-based reproduction numbers
Chapter 8. Modeling interventions
Chapter 9. Models of virus dynamics
Chapter 10. Virus dynamics in humans: unstable directions and order parameters.

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