Comments on Mathematical Aspects of the Biró–Néda Model
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 the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-02-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/4/644 |
| _version_ | 1797478357426765824 |
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| author | Ilda Inácio José Velhinho |
| author_facet | Ilda Inácio José Velhinho |
| author_sort | Ilda Inácio |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T21:30:46Z |
| format | Article |
| id | doaj.art-b1a18c25cee04fe0b157a6f15d7c22d8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:30:46Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b1a18c25cee04fe0b157a6f15d7c22d82023-11-23T20:57:57ZengMDPI AGMathematics2227-73902022-02-0110464410.3390/math10040644Comments on Mathematical Aspects of the Biró–Néda ModelIlda Inácio0José Velhinho1Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, 6201-001 Covilhã, PortugalFaculdade de Ciências and FibEnTech-UBI, Universidade da Beira Interior, R. Marquês D’Ávila e Bolama, 6201-001 Covilhã, PortugalWe 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.https://www.mdpi.com/2227-7390/10/4/644probability conservationstationary distributiontransient behavior |
| spellingShingle | Ilda Inácio José Velhinho Comments on Mathematical Aspects of the Biró–Néda Model Mathematics probability conservation stationary distribution transient behavior |
| title | Comments on Mathematical Aspects of the Biró–Néda Model |
| title_full | Comments on Mathematical Aspects of the Biró–Néda Model |
| title_fullStr | Comments on Mathematical Aspects of the Biró–Néda Model |
| title_full_unstemmed | Comments on Mathematical Aspects of the Biró–Néda Model |
| title_short | Comments on Mathematical Aspects of the Biró–Néda Model |
| title_sort | comments on mathematical aspects of the biro neda model |
| topic | probability conservation stationary distribution transient behavior |
| url | https://www.mdpi.com/2227-7390/10/4/644 |
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