Interval observer for uncertain time-varying SIR-SI epidemiological model of vector-borne disease
Optimization and Control
2018-03-08 v3
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.
Keywords
Cite
@article{arxiv.1703.07083,
title = {Interval observer for uncertain time-varying SIR-SI epidemiological model of vector-borne disease},
author = {Maria Soledad Aronna and Pierre-Alexandre Bliman and Maria Aronna},
journal= {arXiv preprint arXiv:1703.07083},
year = {2018}
}