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Till D. Frank

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

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

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  • More about COVID-19 Epidemiology and Virus Dynamics: Nonlinear Physics and Mathematical Modeling


This book uses mathematical models and methods from nonlinear physics to study COVID-19 epidemics and SARS-CoV-2 infections, aiming to provide insights into the mechanisms behind past outbreaks and support a physics perspective on immune reactions to virus infections.

Format: Paperback / softback
Length: 355 pages
Publication date: 01 April 2023
Publisher: Springer Nature Switzerland AG


This comprehensive book delves into the realm of the COVID-19 pandemic, employing a quantitative approach rooted in mathematical models and methods commonly employed in nonlinear physics. Its primary objective is to explore COVID-19 epidemics on a global scale and SARS-CoV-2 infections within individuals through the lens of nonlinear physics, aiming to model both COVID-19 data observed in various countries and virus load data observed in COVID-19 patients explicitly.

The book commences with a concise technical introduction to amplitude spaces, encompassing concepts such as eigenvalues, eigenvectors, and amplitudes. This foundational knowledge sets the stage for subsequent chapters, where mathematical models of epidemiology are introduced. The SIR (Susceptible, Infected, Recovered) and SEIR (Susceptible, Exposed, Infected, Recovered) models, widely recognized in the field of epidemiology, are presented and applied to describe COVID-19 epidemics across a diverse range of countries worldwide.

In the third and final part of the book, the focus shifts to virus dynamics models, which are employed to understand the intricate processes involved in infections within COVID-19 patients. These models shed light on the mechanisms driving the spread of the virus and provide valuable insights into the immune responses of individuals to SARS-CoV-2 infections and similar virus infections.

Crafted with researchers, modellers, graduate students, and professionals in physics, medicine, epidemiology, virology, biology, applied mathematics, and computer sciences in mind, this book serves as a valuable resource for understanding the complex dynamics of the COVID-19 pandemic. By identifying the relevant mechanisms behind past outbreaks, it contributes to efforts aimed at preventing future COVID-19 outbreaks and other epidemic outbreaks. Moreover, by highlighting the physics underlying SARS-CoV-2 infections, the book supports a physics perspective in addressing human immune reactions to such infections, offering valuable insights into the broader field of infectious diseases.

Weight: 569g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030971809
Edition number: 1st ed. 2022

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