Regularity of poisson quadratic stochastic operator generated by 2-partition of a singleton


Citation

Nur Alis Aqeelah Mohd Fadzullah, . and Nur Zatul Akmar Hamzah, . and Nasir Ganikhodjaev, . (2024) Regularity of poisson quadratic stochastic operator generated by 2-partition of a singleton. Journal of Sustainability Science and Management (Malaysia), 19 (6). pp. 15-24. ISSN 2672-7226

Abstract

The theory of quadratic stochastic operator (QSO) was developed by Bernstein in 1924 when he presented about population genetics. The research on QSO is still ongoing as researchers have not yet studied various classes, conditions, and measures. In this paper, we introduce a new class of Poisson QSO generated by the 2-partition of a singleton defined on the set of all integers state space. We illustrate the trajectory behaviour of the constructed QSO by cases. Lastly, we show that it is a regular transformation for some parameters’ values.


Download File

Full text available from:

Abstract

The theory of quadratic stochastic operator (QSO) was developed by Bernstein in 1924 when he presented about population genetics. The research on QSO is still ongoing as researchers have not yet studied various classes, conditions, and measures. In this paper, we introduce a new class of Poisson QSO generated by the 2-partition of a singleton defined on the set of all integers state space. We illustrate the trajectory behaviour of the constructed QSO by cases. Lastly, we show that it is a regular transformation for some parameters’ values.

Additional Metadata

[error in script]
Item Type: Article
AGROVOC Term: mathematics
AGROVOC Term: statistical methods
AGROVOC Term: models
AGROVOC Term: data analysis
AGROVOC Term: simulation
AGROVOC Term: probability analysis
AGROVOC Term: Algorithms
AGROVOC Term: research
Geographical Term: Malaysia
Depositing User: Mr. Khoirul Asrimi Md Nor
Date Deposited: 09 Apr 2025 01:06
Last Modified: 09 Apr 2025 01:06
URI: http://webagris.upm.edu.my/id/eprint/2544

Actions (login required)

View Item View Item