Grzegorz Rempala, Ohio State University

Abstract

Recently, there has been considerable interest in both inference and predictions for compartmental epidemic models on multiple physical scales, like, for instance, a single host and a population of hosts. Both viral invasions and global pandemics are often described by similar mathematical constructs known as SIR models. In this talk I will review some basic concepts related to such models across scales and present a simple unifying framework that allows to conceptually connect both deterministic (e.g., population level) and stochastic (e.g., molecular level) SIR models with the help of tools of statistical theory of survival analysis.