Observability, Identifiability and Epidemiology A survey

Observabilité, Identifiabilité et Epidémiologie

Frédéric Hamelin (1) , Abderrahman Iggidr (2, 3) , Alain Rapaport (4) , Gauthier Sallet (3)

1 AGROCAMPUS OUEST
2 Inria Nancy - Grand Est
3 IECL - Institut Élie Cartan de Lorraine
4 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

In this document we introduce the concepts of Observability and Iden-tifiability in Mathematical Epidemiology. We show that, even for simple and well known models, these properties are not always fulfilled. We also consider the problem of practical observability and identi-fiability which are connected to sensitivity and numerical condition numbers.

Mots clés: Dynamical Systems

Domaines: Systèmes dynamiques [math.DS]

Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport, Gauthier Sallet. Observability, Identifiability and Epidemiology A survey. 2020. ⟨hal-02995562v1⟩