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020 _a9789819725397
_9978-981-97-2539-7
024 7 _a10.1007/978-981-97-2539-7
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
100 1 _aCunniffe, Nik.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979985
245 1 0 _aIdentifiability and Observability in Epidemiological Models
_h[electronic resource] :
_bA Primer /
_cby Nik Cunniffe, Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport, Gauthier Sallet.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXII, 108 p. 15 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs on PDEs and Data Science,
_x2731-7609
505 0 _aChapter 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.
520 _aThis 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.
650 0 _aMathematics.
_965523
650 0 _aSystem theory.
_966519
650 0 _aControl theory.
_968675
650 0 _aEpidemiology.
_965983
650 0 _aBiomathematics.
_970325
650 1 4 _aApplications of Mathematics.
_965529
650 2 4 _aSystems Theory, Control.
_968676
650 2 4 _aEpidemiology.
_965983
650 2 4 _aMathematical and Computational Biology.
_970327
700 1 _aHamelin, Frédéric.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979986
700 1 _aIggidr, Abderrahman.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979987
700 1 _aRapaport, Alain.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979988
700 1 _aSallet, Gauthier.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979989
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819725380
776 0 8 _iPrinted edition:
_z9789819725403
830 0 _aSpringerBriefs on PDEs and Data Science,
_x2731-7609
_971592
856 4 0 _uhttps://doi.org/10.1007/978-981-97-2539-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c61319
_d61319