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Interval observer for SIR epidemic model subject to uncertain seasonality

Abstract

The issue of state estimation is considered for a SIR model with seasonal variations and uncertainties in the transmission rate. Assuming continuous measurement of the number of new infectives per unit time, a class of interval observers with estimate-dependent gain is constructed, and asymp-totic error bounds are provided. Mathematics Subject Classification (2000) Primary 92D30; Secondary 34C12, 93B07, 93D09, 93D30
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Dates and versions

hal-01309743 , version 1 (30-04-2016)
hal-01309743 , version 2 (26-11-2016)

Identifiers

  • HAL Id : hal-01309743 , version 2

Cite

Pierre-Alexandre Bliman, Bettina D 'Avila Barros. Interval observer for SIR epidemic model subject to uncertain seasonality. Positive Systems - POSTA 2016, Sep 2016, Roma, Italy. ⟨hal-01309743v2⟩
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