Geodesic
Parameter identification and estimation for stage-structured population models
International Journal of Applied Mathematics and Computer Science, Tome 29 (2019) no. 2, pp. 327-336.

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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.
Keywords: system identification, parameter estimation, dynamic population, discrete time system, rank-one matrix
Mots-clés : identyfikacja systemu, estymacja parametru, dynamika populacji, system czasu dyskretnego 
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Coll, Carmen; Sánchez, Elena. Parameter identification and estimation for stage-structured population models. International Journal of Applied Mathematics and Computer Science, Tome 29 (2019) no. 2, pp. 327-336. http://geodesic.mathdoc.fr/item/IJAMCS_2019_29_2_a8/

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