Paper Info
Title
Estimating The Infection Rate Of A Sir Epidemic Model Via Differential Elimination
Abstract
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-Grobner 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.
Year
DOI
Venue
2019
10.23919/ECC.2019.8795991
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Applied mathematics,Gradient descent,Nonlinear system,Epidemic model,Differentiator,Differential algebra,State variable,Mathematical model,Infection rate,Mathematics
Conference
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Rosane Ushirobira101.01
Denis V. Efimov269693.92
Pierre-Alexandre Blirnan300.34