A survey on Lyapunov functions for epidemic compartmental models.

Authors :: Cangiotti N
Capolli M
Sensi M
Sottile S
Source :: Bollettino della Unione matematica italiana (2008) [Boll Unione Mat Ital (2008)] 2023 Jun 06, pp. 1-17. Date of Electronic Publication: 2023 Jun 06.
Publication Year :: 2023
Publisher :: Ahead of Print
Abstract: 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, and provide 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.<br />Competing Interests: Conflict of interestOn behalf of all authors, the corresponding author states that there is no conflict of interest.<br /> (© The Author(s) 2023.)