A brief tour of renewal equations for epidemic modelling

Samir Bhatt, University of Copenhagen and Imperial College London

In this talk I'll discuss the renewal equation and its use in epidemic modelling. I will briefly discuss how many popular approaches result in a renewal equation, and highlight a few applications where the renewal equation is used. I will then discuss new work we have recently done to rigorously derive how the renewal equation arises from age dependent branching processes. I will then discuss a few interesting (i think) implications of this derivation - including overdispersion and a link to generalised Fibonacci numbers! Paper is under second review currently and available via this link.