Stochastic roots of growth phenomena

E. De Lauro, S. De Martino, S. De Siena and V. Giorno

Physica A: Statistical Mechanics and its Applications, 2014, vol. 401, issue C, 207-213

Abstract: We show that the Gompertz equation describes the evolution in time of the median of a geometric stochastic process. Therefore, we induce that the process itself generates the growth. This result allows us further to exploit a stochastic variational principle to take account of self-regulation of growth through feedback of relative density variations. The conceptually well defined framework so introduced shows its usefulness by suggesting a form of control of growth by exploiting external actions.

Keywords: Gompertz growth; Stochastic control theory; Cancer (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:401:y:2014:i:c:p:207-213

DOI: 10.1016/j.physa.2013.12.051

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