<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Parameter Identification and Estimation For Stage–Structured Population Models

Institute of Multidisciplinary Mathematics

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

Parameter Identification and Estimation For Stage–Structured Population Models

Published Online: Jul 04, 2019

Page range: 327 - 336

Received: Jul 09, 2018

Accepted: Nov 29, 2018

DOI: https://doi.org/10.2478/amcs-2019-0024

Keywords
system identification, parameter estimation, dynamic population, discrete-time system, rank-one matrix

© 2019 Carmen Coll et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Parameter Identification and Estimation For Stage–Structured Population Models

Published Online: Jul 04, 2019

Page range: 327 - 336

Received: Jul 09, 2018

Accepted: Nov 29, 2018

DOI: https://doi.org/10.2478/amcs-2019-0024

Keywordssystem identification, parameter estimation, dynamic population, discrete-time system, rank-one matrix

© 2019 Carmen Coll et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
system identification, parameter estimation, dynamic population, discrete-time system, rank-one matrix