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Communication Dans Un Congrès Année : 2022

Analysis and on/off lockdown control for time-varying SIS epidemics with a shared resource

Résumé

The paper studies the spread of a virus over a (possibly) time-varying graph, with the spread being (possibly) worsened by the presence of a shared resource. We propose a time-varying susceptible-infected - water-susceptible (SIWS) model, with the water compartment representing the contam-ination level in the shared resource. We say that the system is in the disease-free equilibrium (DFE) if none of the nodes (representative of sub-populations, such as cities, districts, etc.) are infected, and the shared resource is contaminant-free. We identify multiple sufficient conditions for exponential convergence to the DFE. Based on one of the aforementioned sufficient conditions, an on/off lockdown strategy that eradicates the infection spread is proposed. More specifically, we design a switching rule between lockdown and free (i.e., no lockdown) modes to guarantee exponential convergence to the DFE.
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Dates et versions

hal-03873892 , version 1 (27-11-2022)

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Sebin Gracy, Irinel Constantin Morarescu, Vineeth Varma, Philip Pare. Analysis and on/off lockdown control for time-varying SIS epidemics with a shared resource. 20th European Control Conference, ECC'2022, Jul 2022, Londres, United Kingdom. ⟨10.23919/ECC55457.2022.9838125⟩. ⟨hal-03873892⟩
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