Parameter Identification Problem in the discrete-time SIR Model
DOI:
https://doi.org/10.5540/tcam.2024.025.e01805Keywords:
COVID-19, Discrete SIR Model, Parameter Estimation, Inverse problem, Minimal Error MethodAbstract
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.
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