Comments on Mathematical Aspects of the Biró–Néda Model

Ilda Inácio and José Velhinho
Additional contact information
Ilda Inácio: Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, 6201-001 Covilhã, Portugal
José Velhinho: Faculdade de Ciências and FibEnTech-UBI, Universidade da Beira Interior, R. Marquês D’Ávila e Bolama, 6201-001 Covilhã, Portugal

Mathematics, 2022, vol. 10, issue 4, 1-10

Abstract: 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.

Keywords: probability conservation; stationary distribution; transient behavior (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/4/644/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/4/644/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:4:p:644-:d:753277

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().