Continuous growth models in terms of generalized logarithm and exponential functions

Alexandre Souto Martinez, Rodrigo Silva González and César Augusto Sangaletti Terçariol

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 23, 5679-5687

Abstract: Consider the one-parameter generalizations of the logarithmic and exponential functions which are obtained from the integration of non-symmetrical hyperboles. These generalizations coincide to the one obtained in the context of non-extensive thermostatistics. We show that these functions are suitable to describe and unify the great majority of continuous growth models, which we briefly review. Physical interpretation to the generalization function parameter is given for the Richards’ model, which has an underlying microscopic model to justify it.

Keywords: Population dynamics; Generalized logarithmic and exponential functions; Growth models; Richard’s model; Marusic and Bajzer’s model; Tsoularis and Wallace’s model (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:23:p:5679-5687

DOI: 10.1016/j.physa.2008.06.015

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