03820nam a22006135i 4500 978-981-97-2539-7 DE-He213 20251030112612.0 cr nn 008mamaa 240703s2024 si | s |||| 0|eng d 9789819725397 978-981-97-2539-7 10.1007/978-981-97-2539-7 doi T57-57.97 PBW bicssc MAT003000 bisacsh PBW thema Cunniffe, Nik. author. aut http://id.loc.gov/vocabulary/relators/aut 79985 Identifiability and Observability in Epidemiological Models [electronic resource] : A Primer / by Nik Cunniffe, Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport, Gauthier Sallet. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XII, 108 p. 15 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs on PDEs and Data Science, 2731-7609 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. 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. Mathematics. 65523 System theory. 66519 Control theory. 68675 Epidemiology. 65983 Biomathematics. 70325 Applications of Mathematics. 65529 Systems Theory, Control. 68676 Epidemiology. 65983 Mathematical and Computational Biology. 70327 Hamelin, Frédéric. author. aut http://id.loc.gov/vocabulary/relators/aut 79986 Iggidr, Abderrahman. author. aut http://id.loc.gov/vocabulary/relators/aut 79987 Rapaport, Alain. author. aut http://id.loc.gov/vocabulary/relators/aut 79988 Sallet, Gauthier. author. aut http://id.loc.gov/vocabulary/relators/aut 79989 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819725380 Printed edition: 9789819725403 SpringerBriefs on PDEs and Data Science, 2731-7609 71592 https://doi.org/10.1007/978-981-97-2539-7 ZDB-2-SMA ZDB-2-SXMS 61319 61319