A Primer Cunniffe, Nik. creator author. aut http://id.loc.gov/vocabulary/relators/aut Hamelin, Frédéric. author. aut http://id.loc.gov/vocabulary/relators/aut Iggidr, Abderrahman. author. aut http://id.loc.gov/vocabulary/relators/aut Rapaport, Alain. author. aut http://id.loc.gov/vocabulary/relators/aut Sallet, Gauthier. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text si 2024 1st ed. 2024. monographic eng

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access XII, 108 p. 15 illus., 1 illus. in color. online resource. 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. Chapter 1 Introduction -- Chapter 2 Mathematical foundations -- Chapter 3 Analysis of the Kermack -- Chapter 4 McKendrick model -- Chapter 5 Observers synthesis -- Chapter 6 Practical and numerical considerations -- Chapter 7 Appendix -- Chapter 8 References. by Nik Cunniffe, Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport, Gauthier Sallet. Mathematics System theory Control theory Epidemiology Biomathematics Applications of Mathematics Systems Theory, Control Epidemiology Mathematical and Computational Biology T57-57.97 9789819725397 https://doi.org/10.1007/978-981-97-2539-7 https://doi.org/10.1007/978-981-97-2539-7 240703 20251030112612.0 978-981-97-2539-7