A generalized q growth model based on nonadditive entropy

被引：3

作者：

Rondon, Irving ^{[1
]}

Sotolongo-Costa, Oscar ^{[2
]}

Gonzalez, Jorge A. ^{[3
]}

Lee, Jooyoung ^{[1
]}

机构：

[1] Korea Inst Adv Study, Sch Computat Sci, Ctr Sil Prot Sci, Seoul 02455, South Korea

[2] Unive Autonoma Estado Morelos, Cuernavaca 62209, Morelos, Mexico

[3] Florida Int Univ, Dept Phys, Miami, FL 33199 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2020年 / 34卷 / 29期

基金：

新加坡国家研究基金会;

关键词：

Nonlinear dynamics; entropy; growth laws; pandemic modeling; COVID-19; BREAST-CANCER; TUMOR; SELECTION;

D O I：

10.1142/S0217979220502811

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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) approximate to t(D), where the exponent D equivalent to 1/1-q classifies different types of growth. Several examples are given and discussed.

引用

页数：9

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