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Journal Articles Discrete and Continuous Dynamical Systems - Series B Year : 2022

Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination

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.
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Dates and versions

hal-03890647 , version 1 (08-12-2022)

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Hiroshi Ito, Michael Malisoff, Frederic Mazenc. Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination. Discrete and Continuous Dynamical Systems - Series B, 2022, 27 (12), pp.6969-6988. ⟨10.3934/dcdsb.2022029⟩. ⟨hal-03890647⟩
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