Identifiability and Observability in Epidemiological Models
A Primer
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Beschreibung
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 models. New developments relevant for applications in epidemiology are also given. Finally, practical considerations are discussed with data and numerical simulations related to models previously analysed in the book.
The book will be appealing to epidemiological modellers and mathematicians working on models in epidemiology.This book contributes to Sustainable Development Goal 3 (SDG3): Good Health and Well Being.
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 models. New developments relevant for applications in epidemiology are also given. Finally, practical considerations are discussed with data and numerical simulations related to models previously analysed in the book.
The book will be appealing to epidemiological modellers and mathematicians working on models in epidemiology.This book contributes to Sustainable Development Goal 3 (SDG3): Good Health and Well Being.
demonstrates how the concepts of observation and identification apply on epidemiological models balances between rigorous mathematical developments and practical considerations on concrete examples presents several new developments relevant to applications in epidemiology
Autor*in
Nik Cunniffe
Themen in »Identifiability and Observability in Epidemiological Models«
Epidemiology Observation Identification Estimation Observers Sustainable Development Goal 3 Good Health and Well Being
Stimmen zu »Identifiability and Observability in Epidemiological Models«
“This book studies the identifiability and observability in epidemiological models. It contains five chapters and several appendices covering some preliminaries, lemmas and numerical implementation. It is concise and suitable for readers studying mathematical models of epidemiology and it is self-contained with references collected at the end of the book. … It may be useful for readers who are not familiar with control theory concepts like detectability and observability.” (Yilun Shang, zbMATH 1566.92001, 2025)
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