Exploring Susceptible-Infectious-Recovered (SIR) Model for COVID-19 Investigation

Description

The book focuses on mathematical modelling of COVID-19 pandemic using the Susceptible, Infectious, and Recovered (SIR) model. The predictive modelling of the disease, with the exact facts and figures, provides a ground to reason about growing trends and its future trajectory. The book emphasizes on how the pandemic actually spreads out, lockdown impact analysis, and future course of actions based on mathematical calculations. Moreover, since COVID-19 spread outburst has been twice, the intensity studies and comparative analysis of the two waves of COVID-19 are another interesting feature of the book content. The book is a knowledge base for various researchers and academicians to dive into the detailing of the COVID spread (mathematical) model and understand how it could be explored to draw outcomes. To represent the factual information and analytical results effectively, graphical and diagrammatic representations have been appended at appropriate places. To keep the explanation simple and yet concrete, mathematical concepts have also been introduced; to carry out analysis to generate results for understanding the viral dynamics. Preface Acknowledgement Contents About the Authors Acronyms 1 Introduction 1.1 Worldwide Impacts of Covid-19 1.2 SIR Model: A Good Fit for Modelling Covid-19 1.3 Organization of the Book References 2 Epidemic Studies and Mathematical Setup of SIR Model 2.1 Epidemic Studies and Modelling: The State-of-the-Art Techniques 2.2 SIR Mathematical Modelling References 3 Understanding and Analysing the Spread Pattern of Covid-19 3.1 Exponential Growth Rate Analysis of Covid-19 3.2 Need of SIR Model-Based Analysis for Covid-19 References 4 SIR Model-Based Experimental Investigations over Covid-19 4.1 Understanding SIR as a Nonlinear Differential Model 4.2 Analysing Lockdown Effect on Effective Contact Rate: … 4.3 Summarizing Analysis References 5 Result Analysis of SIR-Based Covid-19 Model 5.1 SIR Model-Based Estimation of Infection Range 5.2 To Estimate Longevity of Covid-19 Pandemic Spread 5.3 Comparing Covid-19 with Other Epidemics 5.4 Covid-19 Curbing Measures: Vaccination v/s Herd Immunity References 6 Exploring Covid-19 Second Wave Dynamics Using SIR Epidemic Model 6.1 Covid-19 Second Wave: Impact, Emergence, and Growth 6.2 Impact of Lockdown 2.0 6.3 Comparing the Two Waves of Covid-19 6.4 Vaccination Measures and Its Effect References 7 Conclusions and Future Scope 7.1 Conclusions 7.2 Future Scope Appendix Glossary