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

10. 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