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

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

Document type :

Communication dans un congrès avec actes

Title :

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

Author(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]

Conference title :

ECC 2019 - 18th European Control Conference

City :

Naples

Country :

Italie

Start date of the conference :

2019-06-25

HAL domain(s) :

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

English abstract : [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, ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

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

Source :

Harvested from HAL

Files

https://hal.inria.fr/hal-02418553/document
Open access
Access the document

https://hal.inria.fr/hal-02418553/document
Open access
Access the document

https://hal.inria.fr/hal-02418553/document
Open access
Access the document

document
Open access
Access the document

UEB_ECC_2019_final.pdf
Open access
Access the document

document
Open access
Access the document

UEB_ECC_2019_final.pdf
Open access
Access the document

Estimating the infection rate of a SIR ... BibTeX CSV Excel RIS

Files

Estimating the infection rate of a SIR ...

BibTeX

CSV

Excel

RIS