Interval observer for uncertain time-varying SIR-SI epidemiological model of vector-borne disease

Abstract : The issue of state estimation is considered for an SIR-SI epidemiological model describing a vector-borne disease such as dengue fever, subject to seasonal variations. Assuming continuous measurement of the incidence rate (that is the number of new infectives in the host population per unit time), a class of interval observers with estimate-dependent gain is constructed, and asymptotic error bounds are provided. The synthesis method is based on the search for a common linear Lyapunov function for monotone systems that represent the evolution of the estimation errors.
Type de document :
Pré-publication, Document de travail
2017
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https://hal.inria.fr/hal-01493078
Contributeur : Pierre-Alexandre Bliman <>
Soumis le : vendredi 10 novembre 2017 - 15:19:27
Dernière modification le : jeudi 11 janvier 2018 - 06:28:03

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  • HAL Id : hal-01493078, version 2
  • ARXIV : 1703.07083

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Maria Soledad Aronna, Pierre-Alexandre Bliman. Interval observer for uncertain time-varying SIR-SI epidemiological model of vector-borne disease. 2017. 〈hal-01493078v2〉

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