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
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