Laguerre-type parametric population dynamics models

Volume 18, Issue 4, pp 239--249 https://dx.doi.org/10.22436/jnsa.018.04.02

Publication Date: July 11, 2025 Submission Date: May 15, 2025 Revision Date: June 01, 2025 Accteptance Date: June 15, 2025

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Authors

D. Caratelli - The Antenna Company, High Tech Campus 29, 5656 AE-Eindhoven, Netherlands. - Eindhoven University of Technology, P.O. Box 513, 5600 MB-Eindhoven, Netherlands. P. Natalini - Dipartimento di Ingegneria Industriale, Elettronica e Meccanica, Universita Roma Tre, Via Vito Volterra, 62, 00146-Roma, Italia. P. E. Ricci - Mathematics Section, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italia.

Abstract

In a previous article we considered a parametric Laguerre-type operator, which behaves like an exponential with respect to its eigenfunction. In this article we exploit this operator to introduce parametric models of population dynamics. The classical Malthus, Verhulst, logistic minimum-threshold, and Volterra-Lotka models are extended by introducing a parameter that could be useful for a better fit to real data. Examples, obtained by the first author, are shown using the computer algebra system Mathematica.

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Keywords

• Generalized Mittag-Leffler functions
• Laguerre-type exponentials
• transmutation operators
• parametric population dynamics models

MSC

•  26C05
•  33B10
•  33E12
•  34L30
•  92D25

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