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

Abstract : The issue of state estimation is considered for an SIR-SI model describing a vector-borne disease such as dengue fever, with seasonal variations and uncertainties in the transmission rates. Assuming continuous measurement of 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 representing the evolution of the estimation errors.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-01493078
Contributor : Pierre-Alexandre Bliman <>
Submitted on : Monday, March 20, 2017 - 8:25:59 PM
Last modification on : Thursday, March 26, 2020 - 9:27:04 PM

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  • HAL Id : hal-01493078, version 1
  • ARXIV : 1703.07083

Citation

Maria Soledad Aronna, Pierre-Alexandre Bliman. Interval observer for uncertain time-varying SIR-SI model of vector-borne disease. 2017. ⟨hal-01493078v1⟩

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