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E-raamat: COVID-19 Pandemic Dynamics: Mathematical Simulations

  • Formaat: EPUB+DRM
  • Ilmumisaeg: 10-Feb-2021
  • Kirjastus: Springer Verlag, Singapore
  • Keel: eng
  • ISBN-13: 9789813364165
  • Formaat - EPUB+DRM
  • Hind: 135,23 €*
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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 10-Feb-2021
  • Kirjastus: Springer Verlag, Singapore
  • Keel: eng
  • ISBN-13: 9789813364165

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This book highlights the estimate of epidemic characteristics for different countries/regions in the world with the use of known SIR (susceptible-infected-removed) model for the dynamics of the epidemic, the known exact solution of the linear differential equations and statistical approach developed before. The COVID-19 pandemic is of great interest to researchers due to its high mortality and a negative impact to the world economy. Correct simulation of the pandemic dynamics needs complicated mathematical models and many efforts for unknown parameters identification. The simple method of detection of the new pandemic wave is proposed and SIR model generalized. The hidden periods, epidemic durations, final numbers of cases, the effective reproduction numbers and probabilities of meeting an infected person are presented for countries like USA, Germany, UK, the Republic of Korea, Italy, Spain, France, the Republic of Moldova, Ukraine, and for the world. The presented information is useful to regulate the quarantine activities and to predict the medical and economic consequences of different/future pandemics. 

Arvustused

I appreciated the book's clear and accessible writing, which provides the reader with a smooth introduction to pandemic modeling. I would recommend this book to a range of possible audiences: third-and fourth-year undergraduate students in mathematical disciplines; epidemiologists with some mathematical background who want to learn more about transmission modeling; and graduate students and faculty . book's lucid approach with in-depth country case studies will be helpful for learning more about applying mathematical models to inform pandemic response. (Chris Bauch, SIAM Review, Vol. 64 (1), March, 2022)

1 Data Used for Calculations, Comparisons, and Verifications
1(6)
2 Early Stages of Epidemics and Exponential Growth
7(8)
3 Comparisons of the Early Stages of the COVID-19 Pandemic in Different Regions
15(8)
4 Classical SIR Model and the Exact Solution of Differential Equations
23(10)
5 Statistics-Based Procedure of Parameter Identification for the Classical SIR Model
33(4)
6 SIR Simulations for the First Waves of the COVID-19 Pandemic in Different Countries and Regions
37(52)
6.1 Mainland China
37(5)
6.2 The Republic of Korea
42(4)
6.3 Italy
46(8)
6.4 Austria
54(8)
6.5 Spain
62(1)
6.6 France
62(3)
6.7 Germany
65(2)
6.8 The UK
67(2)
6.9 USA
69(3)
6.10 The Republic of Moldova
72(2)
6.11 Ukraine
74(3)
6.12 Kyiv
77(6)
6.13 The World
83(6)
7 Comparison of the First Waves of the COVID-19 Pandemic in Different Countries and Regions
89(20)
8 Identification of the New Waves of the COVID-19 Pandemic
109(18)
9 General SIR Model and Its Exact Solution
127(6)
10 Procedures of Parameter Identification for the Waves of Epidemics
133(8)
11 Applications of the General SIR Model for Calculations of the COVID-19 Epidemic Waves in Ukraine
141(6)
12 Global Waves of the COVID-19 Pandemic
147(6)
13 Long-Time Predictions for the Pandemic Dynamics
153(8)
14 Conclusions
161(4)
References 165
Dr. Igor Nesteruk is Leading Researcher at the Institute of Hydromechanics, National Academy of Sciences of Ukraine, and Head of Laboratory of Biomedical Electronics at Igor Sikorsky Kyiv Polytechnic Institute. His main research interests are inverse non-steady problems of fluid mechanics, supercavitation, flow control, biomedical signal processing and mathematical simulations of infectious diseases.