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Open AccessArticle

Noether Symmetries Quantization and Superintegrability of Biological Models

Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, 06123 Perugia, Italy
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Academic Editor: Roman M. Cherniha
Symmetry 2016, 8(12), 155; https://doi.org/10.3390/sym8120155
Received: 17 October 2016 / Revised: 2 December 2016 / Accepted: 12 December 2016 / Published: 20 December 2016
It is shown that quantization and superintegrability are not concepts that are inherent to classical Physics alone. Indeed, one may quantize and also detect superintegrability of biological models by means of Noether symmetries. We exemplify the method by using a mathematical model that was proposed by Basener and Ross (2005), and that describes the dynamics of growth and sudden decrease in the population of Easter Island. View Full-Text
Keywords: Lie symmetries; Jacobi last multiplier; Lagrangians; Noether symmetries; classical quantization; superintegrability; Easter Island population Lie symmetries; Jacobi last multiplier; Lagrangians; Noether symmetries; classical quantization; superintegrability; Easter Island population
MDPI and ACS Style

Nucci, M.C.; Sanchini, G. Noether Symmetries Quantization and Superintegrability of Biological Models. Symmetry 2016, 8, 155.

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