Interval observer for uncertain time-varying SIR-SI model of vector-borne diseaseReport as inadecuate




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1 FGV - Fundacao Getulio Vargas Rio de Janeiro 2 MAMBA - Modelling and Analysis for Medical and Biological Applications LJLL - Laboratoire Jacques-Louis Lions, Inria de Paris

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.

Keywords : Mathematical epidemiology Vector-borne diseases Monotone systems Interval observers Common Lyapunov functions





Author: Maria Soledad Aronna - Pierre-Alexandre Bliman -

Source: https://hal.archives-ouvertes.fr/



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