Identifiability and Observability in Epidemiological Models

Identifiability and Observability in Epidemiological Models

A Primer

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This book introduces the concepts of identifiability and observability in mathematical epidemiology, as well as those of observers' constructions. It first exposes and illustrates on several examples the mathematical definitions and properties of observability and identifiability. A chapter is dedicated to the well-known Kermack McKendrick model, for which the complete analysis of identifiability and observability is not available in the literature. Then, several techniques of observer constructions, in view of online estimation of state and parameters, are presented and deployed on several mo...