STRICT LYAPUNOV FUNCTIONS AND FEEDBACK CONTROLS FOR SIR MODELS WITH QUARANTINE AND VACCINATION

Authors

Hiroshi Ito, Kyushu Inst Technol, Dept Intelligent & Control Syst, 680-4 Kawazu, Iizuka, Fukuoka 8208502, JapanFollow
Michael Malisoff, Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USAFollow
Frederic Mazenc, I2S CNRS Cent Supelec, Inria EPI DISCO, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, FranceFollow

Document Type

Article

Publication Date

2-2022

Abstract

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.

Publication Source (Journal or Book title)

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Recommended Citation

Ito, H., Malisoff, M., & Mazenc, F. (2022). STRICT LYAPUNOV FUNCTIONS AND FEEDBACK CONTROLS FOR SIR MODELS WITH QUARANTINE AND VACCINATION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B https://doi.org/10.3934/dcdsb.2022029