Towards possible q-generalizations of the Malthus and Verhulst growth models

Dominik Strzałka and Franciszek Grabowski

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 11, 2511-2518

Abstract: Tsallis entropy introduced in 1988 based on the equation Sq=1−∑ipiqq−1 has been considered to obtain new possibilities for constructing a generalized thermodynamical basis for statistical physics, expanding classical Boltzmann–Gibbs thermodynamics for non-equilibrium states. During the last two decades this q-generalized theory has been successfully applied to a considerable amount of physically interesting complex phenomena. The authors wish to present a mathematical analysis of the possible q-generalizations of the Malthus and the Verhulst growth models based on Tsallis definitions of the q-logarithm and the q-exponential.

Keywords: Non-extensive entropy; Population dynamics (ecology); Complex systems (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:11:p:2511-2518

DOI: 10.1016/j.physa.2007.12.014

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