On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D

On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D

A quadratic stochastic operator (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. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem w...

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Main Authors: Mukhamedov, Farrukh, Qaralleh, Izzat, Wan Rozali, Wan Nur Fairuz Alwani
Format: Article
Language:English
Published: Faculty of Science and Technology, Universiti Kebangsaan Malaysia 2014
Subjects:
QA300 Analysis
Online Access:http://irep.iium.edu.my/72747/
http://irep.iium.edu.my/72747/
http://irep.iium.edu.my/72747/1/21%20Farrukh.pdf
id iium-72747
recordtype eprints
spelling iium-727472019-07-01T08:04:18Z http://irep.iium.edu.my/72747/ On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D Mukhamedov, Farrukh Qaralleh, Izzat Wan Rozali, Wan Nur Fairuz Alwani QA300 Analysis A quadratic stochastic operator (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. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators. ********************************************************************* Pengendali stokastik kuadratik (QSO) biasanya digunakan untuk menunjukkan evolusi masa berbeza spesies dalam biologi. Sesetengah pengendali stokastik kuadratik telah dikaji oleh Lotka dan Volterra. Masalah umum dalam teori tak linear pengendali adalah untuk mengkaji tingkah laku pembekal. Masalah ini tidak sepenuhnya siap untuk pengendali stokastik kuadratik yang merupakan pengendali tak linear yang paling mudah. Untuk memahami masalah ini, beberapa kelas QSO telah dikaji. Dalam kertas ini, kami mengkaji ξ(a)– QSO yang ditentukan pada simpleks 2D. Kami mengklasifikasikan ξ(a)– QSO ke dalam kelas bukan konjugat. Seterusnya, kami mengkaji kedinamikan kelas pengusaha terbabit. Faculty of Science and Technology, Universiti Kebangsaan Malaysia 2014-08 Article PeerReviewed application/pdf en http://irep.iium.edu.my/72747/1/21%20Farrukh.pdf Mukhamedov, Farrukh and Qaralleh, Izzat and Wan Rozali, Wan Nur Fairuz Alwani (2014) On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D. Sains Malaysiana, 43 (8). pp. 1275-1281. ISSN 0126-6039 http://www.ukm.my/jsm/pdf_files/SM-PDF-43-8-2014/21%20Farrukh.pdf
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA300 Analysis
spellingShingle QA300 Analysis
Mukhamedov, Farrukh
Qaralleh, Izzat
Wan Rozali, Wan Nur Fairuz Alwani
On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D
description A quadratic stochastic operator (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. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators. ********************************************************************* Pengendali stokastik kuadratik (QSO) biasanya digunakan untuk menunjukkan evolusi masa berbeza spesies dalam biologi. Sesetengah pengendali stokastik kuadratik telah dikaji oleh Lotka dan Volterra. Masalah umum dalam teori tak linear pengendali adalah untuk mengkaji tingkah laku pembekal. Masalah ini tidak sepenuhnya siap untuk pengendali stokastik kuadratik yang merupakan pengendali tak linear yang paling mudah. Untuk memahami masalah ini, beberapa kelas QSO telah dikaji. Dalam kertas ini, kami mengkaji ξ(a)– QSO yang ditentukan pada simpleks 2D. Kami mengklasifikasikan ξ(a)– QSO ke dalam kelas bukan konjugat. Seterusnya, kami mengkaji kedinamikan kelas pengusaha terbabit.
format Article
author Mukhamedov, Farrukh
Qaralleh, Izzat
Wan Rozali, Wan Nur Fairuz Alwani
author_facet Mukhamedov, Farrukh
Qaralleh, Izzat
Wan Rozali, Wan Nur Fairuz Alwani
author_sort Mukhamedov, Farrukh
title On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D
title_short On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D
title_full On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D
title_fullStr On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D
title_full_unstemmed On xi-a quadratic stochastic operators on 2-D simplex = ξa -quadratik stochastic pengendali di simplex 2-D
title_sort on xi-a quadratic stochastic operators on 2-d simplex = ξa -quadratik stochastic pengendali di simplex 2-d
publisher Faculty of Science and Technology, Universiti Kebangsaan Malaysia
publishDate 2014
url http://irep.iium.edu.my/72747/
http://irep.iium.edu.my/72747/
http://irep.iium.edu.my/72747/1/21%20Farrukh.pdf
first_indexed 2023-09-18T21:43:07Z
last_indexed 2023-09-18T21:43:07Z
_version_ 1777413272070258688

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