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Identifiability analysis of an epidemiological model in a structured population

Antoine Perasso 1 Béatrice Laroche 2 Yacine Chitour 2 Suzanne Touzeau 3
1 LCE - Laboratoire Chrono-environnement - CNRS - UBFC (UMR 6249)
2 L2S - Laboratoire des signaux et systèmes
3 MIA - Unité de recherche Mathématiques et Informatique Appliquées
Abstract : We investigate the parameter identifiability problem for a system of nonlinear integro-partial differential equations of transport type, representing the spread of a disease with a long infectious but undetectable period in an individual population. After obtaining the expression of the model input-output relationships, we give sufficient conditions on the initial and boundary conditions of the system that guarantee the parameter identifiability on a finite time horizon. We finally illustrate our findings with numerical simulations.
Keywords : identifiability transport equations
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Journal articles
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https://hal-supelec.archives-ouvertes.fr/hal-00655939
Contributor : Béatrice Laroche Connect in order to contact the contributor
Submitted on : Tuesday, January 3, 2012 - 11:02:01 AM
Last modification on : Thursday, January 13, 2022 - 11:58:04 AM

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CNRS | UNIV-FCOMTE | INSMI | SUP_SYSTEMES | SUPELEC | SUP_LSS | INRA | TDS-MACS | CHRONO-ENVIRONNEMENT | INRAE | EC-PARIS

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Antoine Perasso, Béatrice Laroche, Yacine Chitour, Suzanne Touzeau. Identifiability analysis of an epidemiological model in a structured population. Journal of Mathematical Analysis and Applications, Elsevier, 2011, 374 (1), pp.154-165. ⟨10.1016/j.jmaa.2010.08.072⟩. ⟨hal-00655939⟩

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