Estimating the infection rate of a SIR epidemic model via differential elimination

Ushirobira, Rosane; Efimov, Denis; Bliman, Pierre-Alexandre

Type de document :

Communication dans un congrès avec actes

Titre :

Estimating the infection rate of a SIR epidemic model via differential elimination

Auteur(s) :

Ushirobira, Rosane [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Bliman, Pierre-Alexandre [Auteur]
Modelling and Analysis for Medical and Biological Applications [MAMBA]

Titre de la manifestation scientifique :

ECC 2019 - 18th European Control Conference

Ville :

Naples

Pays :

Italie

Date de début de la manifestation scientifique :

2019-06-25

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

A SIR epidemic model is one of the most well-known mathematical models that helps to understand the dissemination of an infectious illness. It is a three-compartment model composed by individuals that are susceptible, ...
Lire la suite >A SIR epidemic model is one of the most well-known mathematical models that helps to understand the dissemination of an infectious illness. It is a three-compartment model composed by individuals that are susceptible, infective and recovered with respect to the disease. In this work, the infection rate is estimated for a particular SIR epidemic model by using as the output measurement the incidence rate, which is a nonlinear function of the state variables. The aim is then to eliminate variables in the given system for which there are no measurements, such as the proportion of each type of individuals (susceptible, infective and recovered). The method applied here is based on differential elimination concepts from differential algebra, more precisely the Rosenfeld-Gröbner algorithm is employed. Once the input-output (IO) equation is determined, the derivatives of the signal are estimated by a homogeneous finite-time differentiator and a gradient descent method can be applied to solve the IO equation for the infection rate.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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