Parameter Identification and Estimation For Stage–Structured Population Models

• Main Authors: Coll Carmen, Sánchez Elena
• Format: Article
• Language: English
• Published: Sciendo 2019-06-01
• Series: International Journal of Applied Mathematics and Computer Science
• Subjects: system identification; parameter estimation; dynamic population; discrete-time system; rank-one matrix
• Online Access: https://doi.org/10.2478/amcs-2019-0024

A stage-structured population model with unknown parameters is considered. Our purpose is to study the identifiability of the model and to develop a parameter estimation procedure. First, we analyze whether the parameter vector can or cannot uniquely be determined with the knowledge of the input-output behavior of the model. Second, we analyze how the information in the experimental data is translated into the parameters of the model. Furthermore, we propose a process to improve the recursive values of the parameters when successive observation data are considered. The structure of the state matrix leads to an analysis of the inverse of a sum of rank-one matrices.