Work

Parameter Identification Problem in the discrete-time SIR Model

Year: 2024

Type: article

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.

Source: Trends in Computational and Applied Mathematics

DOI: 10.5540/tcam.2024.025.e01805

Authors: JEMY A. MANDUJANO VALLE, Alexandre L. Madureira

Institution: Laboratório Nacional de Computação Científica

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funders: Governo Brasil, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, Ministério da Saúde

Award: G6664366959