Parameter Identification Problem in the discrete-time SIR Model

Autor: J. A. Mandujano Valle, A. Loureiro Madureira
Jazyk: English<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: Trends in Computational and Applied Mathematics, Vol 25, Iss 1 (2024)
Druh dokumentu: article
ISSN: 2676-0029
DOI: 10.5540/tcam.2024.025.e01805
Popis: We investigate the problem of determining time dependent parameters for discrete-time epidemiological compartmental models such as the Susceptible-Infected-Recovered (SIR). We show how to determine parameters based on minimal error type iterative schemes. Such methods involve the computation of the adjoint of the derivative operator of a nonlinear function. This is a nontrivial task that we accomplish by carefully crafting auxiliary problems. To show the efficiency of the method, we consider examples involving real COVID-19 data.
Databáze: Directory of Open Access Journals