About the identifiability and observability of the SIR epidemic model with quarantine

Frédéric Hamelin (1, 2) , Abderrahman Iggidr (3, 4) , Alain Rapaport (5) , Gauthier Sallet (3) , Max O Souza (6)

1 IGEPP - Institut de Génétique, Environnement et Protection des Plantes
2 Institut Supérieur Agronomique
3 IECL - Institut Élie Cartan de Lorraine
4 Inria Nancy - Grand Est
5 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
6 IME-UFF - Instituto de Matemática e Estatística [Rio de Janeiro]

We analyze the identifiability and observability of the well-known SIR epidemic model with an additional compartment Q of the sub-population of infected individuals that are placed in quarantine (SIQR model), considering that the flow of individuals placed in quarantine and the size of the quarantine population are known at any time. Then, we focus on the problem of identification of the model parameters and review different techniques.

Mots clés: Parameters estimation; identifiability; observability; parameters identification

Domaines: Systèmes dynamiques [math.DS]; Optimisation et contrôle [math.OC]; Maladies infectieuses

Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport, Gauthier Sallet, Max O Souza. About the identifiability and observability of the SIR epidemic model with quarantine. 2022. ⟨hal-03160829v2⟩