  In this survey, we propose an overview on Lyapunov functions for a variety of
compartmental models in epidemiology. We exhibit the most widely employed
functions, together with a commentary on their use. Our aim is to provide a
comprehensive starting point to readers who are attempting to prove global
stability of systems of ODEs. The focus is on mathematical epidemiology,
however some of the functions and strategies presented in this paper can be
adapted to a wider variety of models, such as prey-predator or rumor spreading.
