On volterra and orthogonality preserving quadratic stochastic operators

A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. In the present paper, we first give a simple characterization of Volterra QSO in terms of abso...

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Main Authors:	Mukhamedov, Farrukh, Mohd Taha, Mohd Hafizuddin
Format:	Article
Language:	English English English
Published:	University of Miskolc 2016
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/50835/ http://irep.iium.edu.my/50835/ http://irep.iium.edu.my/50835/ http://irep.iium.edu.my/50835/1/50835_-_On_volterra_and_orthogonality_preserving_quadratic_stochastic_operators.pdf http://irep.iium.edu.my/50835/4/50835_On%20volterra%20and%20orthogonality%20preserving%20quadratic_wos.pdf http://irep.iium.edu.my/50835/5/50835_On%20volterra%20and%20orthogonality%20preserving%20quadratic_scopus.pdf

id	iium-50835
recordtype	eprints
spelling	iium-508352020-02-17T04:27:07Z http://irep.iium.edu.my/50835/ On volterra and orthogonality preserving quadratic stochastic operators Mukhamedov, Farrukh Mohd Taha, Mohd Hafizuddin QA Mathematics A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. In the present paper, we first give a simple characterization of Volterra QSO in terms of absolutely continuity of discrete measures. Moreover, we provide its generalization in continuous setting. Further, we introduce a notion of orthogonal preserving QSO, and describe such kind of operators defined on two dimensional simplex. It turns out that orthogonal preserving QSOs are permutations of Volterra QSO. The associativity of genetic algebras generated by orthogonal preserving QSO is studied too University of Miskolc 2016 Article PeerReviewed application/pdf en http://irep.iium.edu.my/50835/1/50835_-_On_volterra_and_orthogonality_preserving_quadratic_stochastic_operators.pdf application/pdf en http://irep.iium.edu.my/50835/4/50835_On%20volterra%20and%20orthogonality%20preserving%20quadratic_wos.pdf application/pdf en http://irep.iium.edu.my/50835/5/50835_On%20volterra%20and%20orthogonality%20preserving%20quadratic_scopus.pdf Mukhamedov, Farrukh and Mohd Taha, Mohd Hafizuddin (2016) On volterra and orthogonality preserving quadratic stochastic operators. Miskolc Mathematical Notes, 17 (1). pp. 457-470. ISSN 1787-2405 E-ISSN 1787-2413 http://mat76.mat.uni-miskolc.hu/mnotes/article/1090 10.18514/MMN.2016.1090
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA Mathematics
spellingShingle	QA Mathematics Mukhamedov, Farrukh Mohd Taha, Mohd Hafizuddin On volterra and orthogonality preserving quadratic stochastic operators
description	A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. In the present paper, we first give a simple characterization of Volterra QSO in terms of absolutely continuity of discrete measures. Moreover, we provide its generalization in continuous setting. Further, we introduce a notion of orthogonal preserving QSO, and describe such kind of operators defined on two dimensional simplex. It turns out that orthogonal preserving QSOs are permutations of Volterra QSO. The associativity of genetic algebras generated by orthogonal preserving QSO is studied too
format	Article
author	Mukhamedov, Farrukh Mohd Taha, Mohd Hafizuddin
author_facet	Mukhamedov, Farrukh Mohd Taha, Mohd Hafizuddin
author_sort	Mukhamedov, Farrukh
title	On volterra and orthogonality preserving quadratic stochastic operators
title_short	On volterra and orthogonality preserving quadratic stochastic operators
title_full	On volterra and orthogonality preserving quadratic stochastic operators
title_fullStr	On volterra and orthogonality preserving quadratic stochastic operators
title_full_unstemmed	On volterra and orthogonality preserving quadratic stochastic operators
title_sort	on volterra and orthogonality preserving quadratic stochastic operators
publisher	University of Miskolc
publishDate	2016
url	http://irep.iium.edu.my/50835/ http://irep.iium.edu.my/50835/ http://irep.iium.edu.my/50835/ http://irep.iium.edu.my/50835/1/50835_-_On_volterra_and_orthogonality_preserving_quadratic_stochastic_operators.pdf http://irep.iium.edu.my/50835/4/50835_On%20volterra%20and%20orthogonality%20preserving%20quadratic_wos.pdf http://irep.iium.edu.my/50835/5/50835_On%20volterra%20and%20orthogonality%20preserving%20quadratic_scopus.pdf
first_indexed	2023-09-18T21:11:56Z
last_indexed	2023-09-18T21:11:56Z
_version_	1777411310694170624

On volterra and orthogonality preserving quadratic stochastic operators

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