COVID-19 Epidemiology and Virus Dynamics Nonlinear Physics and Mathematical Modeling

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 explicit...

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Bibliographic Details
Main Author: Frank, Till D.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Understanding Complex Systems
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a COVID-19 Epidemiology and Virus Dynamics  |h Elektronische Ressource  |b Nonlinear Physics and Mathematical Modeling  |c by Till D. Frank 
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300 |a XIV, 355 p. 91 illus  |b online resource 
505 0 |a 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 
653 |a Complex Systems 
653 |a Public health 
653 |a Applied Dynamical Systems 
653 |a System theory 
653 |a Nonlinear theories 
653 |a Epidemiology 
653 |a Mathematical physics 
653 |a Public Health 
653 |a Mathematical Methods in Physics 
653 |a Dynamics 
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520 |a 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