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A generalized q growth model based on nonadditive entropy

Center for In Silico Protein Science, School of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea

E-mail Address: irondon@kias.re.kr

Corresponding author.

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Oscar Sotolongo-Costa

Universidad Autónoma del Estado de Morelos, Cuernavaca, C.P. 62209, Mexico

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Jorge A. González

Department of Physics, Florida International University, Miami, Florida 33199, USA

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, and

Jooyoung Lee

Center for In Silico Protein Science, School of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea

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https://doi.org/10.1142/S0217979220502811Cited by:3 (Source: Crossref)

Abstract

We present a general growth model based on nonextensive statistical physics. We show that the most common unidimensional growth laws such as power law, exponential, logistic, Richards, Von Bertalanffy, Gompertz can be obtained. This model belongs to a particular case reported in (Physica A 369, 645 (2006)). The new evolution equation resembles the “universality” revealed by West for ontogenetic growth (Nature 413, 628 (2001)). We show that for early times the model follows a power law growth as $N (t) \approx t^{D}$ , where the exponent $D \equiv \frac{1}{1 - q}$ classifies different types of growth. Several examples are given and discussed.

Keywords:

PACS: 01.55.+b, 02.60.Cb, 05.20.-y, 05.45.-a, 05.70.Ln

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