Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
The aim of this note is to prove the global stability of the endemic equilibrium states for classical SIR, SIRS and SIS epidemiological models by using the direct Lyapunov metod. Although this result is known in the related literature, the obtention of a Lyapunov function has some interesting advantages like the possibility to compare the rates of convergence towards the equilibrium between the different models.
scientific article; zbMATH DE number 1878909