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Introduction
1. Data used for calculations, comparisons and verifications
2. Early stages of epidemics and exponential growth
3. Comparisons of the early stages of Covid-19 pandemic in different regions
4. Classical SIR model and the exact solution of differential equations
5. Statistics-based procedure of the parameter identification for the classical SIR model
6. Probability of meeting an infected person
7. Estimations of the effective reproduction number
8. Results of SIR simulation for the pandemic dynamics in different countries and regions
9. Hidden periods of Covid-19 pandemic10. Long-time predictions for the pandemic dynamics
11. Identification of the new waves of the Covid-19 pandemic
12. General SIR model and its exact solution
13. Procedures of the parameter identification for the waves of epidemics
14. Applications of the general SIR model for calculations of the Covid-19 epidemic waves in Ukraine
15. Global waves of Covid-19 pandemic
16. Conclusions
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.
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