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

Maria Aronna, Pierre-Alexandre Bliman, Maria Aronna, Pierre-Alexandre Bliman, Maria Aronna, Pierre-Alexandre Bliman
2018 ECC 2018-European Control Conference   unpublished
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
more » ... r monotone systems that represent the evolution of the estimation errors.
fatcat:73ep3ree3nah7eaagcwyiuudhu