Mohd Fadzullah, Nur Alis Aqeelah and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir (2024) Regularity of Poisson quadratic stochastic operator generated by 2-partition of a singleton. Journal of Sustainability Science and Management, 19 (6). pp. 15-24. ISSN 1823-8556 E-ISSN 2672-7226
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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.
| Item Type: | Article (Journal) |
|---|---|
| Uncontrolled Keywords: | Quadratic stochastic operator, Poisson distribution, regular transformation |
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA300 Analysis |
| Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science |
| Depositing User: | Nur Zatul Akmar Hamzah |
| Date Deposited: | 04 Jul 2024 13:10 |
| Last Modified: | 04 Jul 2024 13:10 |
| URI: | http://irep.iium.edu.my/id/eprint/112968 |
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