Mathematics (Feb 2022)

Comments on Mathematical Aspects of the Biró–Néda Model

  • Ilda Inácio,
  • José Velhinho

DOI
https://doi.org/10.3390/math10040644
Journal volume & issue
Vol. 10, no. 4
p. 644

Abstract

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We address two mathematical aspects of the Biró–Néda dynamical model, recently applied in the statistical analysis of several and varied complex phenomena. First, we show that a given implicit assumption ceases to be valid outside the most simple and common cases, and we analyze the consequences thereof, in what the formulation of the model and probability conservation is concerned. Second, we revisit the transient behavior in the case of a constant reset rate and a constant or linear growth rate, improving on a previous analysis by including more general initial conditions.

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