Mathematics and the Quest for Vaccine-Induced Herd Immunity Threshold

Explore a comprehensive lecture on the mathematical principles behind vaccine-induced herd immunity thresholds. Delve into the history, applications, and mathematical models used to understand this crucial concept in epidemiology. Learn about infectious compartment equations, model extensions, and important factors affecting herd immunity, including heterogeneities and linear optimization. Gain insights into the application of these concepts to COVID-19, understanding key terms such as R0 and vaccine efficacy. Discover the current progress in achieving herd immunity and potential future research directions. Engage with a Q&A session following the presentation to deepen your understanding of this vital topic in public health and mathematics.