New poisson quadratic stochastic operator generated by 2-partition

Mohd Fadzullah, Nur Alis Aqeelah and Hamzah, Nur Zatul Akmar (2023) New poisson quadratic stochastic operator generated by 2-partition. In: INTERNATIONAL CONFERENCE ON MATHEMATICS: COMPUTATIONAL AND THEORETICAL SCIENCES, 8-10 August 2023, Swiss-Belhotel Kuantan, Pahang. (Unpublished)

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Abstract

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

Item Type:	Conference or Workshop Item (Slide Presentation)
Uncontrolled Keywords:	Quadratic stochastic operator, Poisson distribution, set of all integers, regular transformation.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Nur Zatul Akmar Hamzah
Date Deposited:	20 Sep 2023 12:39
Last Modified:	20 Sep 2023 12:45
URI:	http://irep.iium.edu.my/id/eprint/106847

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