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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.
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https://hal.inria.fr/hal-01493078
Contributor : Pierre-Alexandre Bliman <>
Submitted on : Wednesday, March 7, 2018 - 12:08:29 AM
Last modification on : Friday, April 10, 2020 - 5:24:33 PM

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  • HAL Id : hal-01493078, version 3
  • ARXIV : 1703.07083

Citation

Maria Soledad Aronna, Pierre-Alexandre Bliman. Interval observer for uncertain time-varying SIR-SI epidemiological model of vector-borne disease. ECC 2018 - European Control Conference, Jun 2018, Limassol, Cyprus. pp.1-6. ⟨hal-01493078v3⟩

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