Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination
Résumé
We provide a new global strict Lyapunov function construction for a susceptible, infected, and recovered (or SIR) disease dynamics that includes quarantine of infected individuals and mass vaccination. We use the Lyapunov function to design feedback controls to asymptotically stabilize a desired endemic equilibrium, and to prove input-to-state stability for the dynamics with a suitable restriction on the disturbances. Our simulations illustrate the potential of our feedback controls to reduce peak levels of infected individuals.
Domaines
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
---|