Parameter Identification Problem in the discrete-time SIR Model

Authors

DOI:

https://doi.org/10.5540/tcam.2024.025.e01805

Keywords:

COVID-19, Discrete SIR Model, Parameter Estimation, Inverse problem, Minimal Error Method

Abstract

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.

Downloads

Published

2024-11-06

How to Cite

Valle, J. A. M., & Madureira, A. L. (2024). Parameter Identification Problem in the discrete-time SIR Model. Trends in Computational and Applied Mathematics, 25(1), e01805. https://doi.org/10.5540/tcam.2024.025.e01805

Issue

Section

Original Article