A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra
This paper aims to investigate the simplest non-linear Markov operators which is the quadratic. Study of quadratic stochastic operators (QSOs) is not an easy task as linear operators. Thus, researchers introduced classes of QSOs such as Volterra QSOs, strictly non-Volterra QSOs, Orthogonal preservin...
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| Format: | Article |
| Language: | en |
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Penerbit Universiti Kebangsaan Malaysia
2024
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| Online Access: | http://journalarticle.ukm.my/23631/1/Paper_15%20-.pdf http://journalarticle.ukm.my/23631/ http://www.ukm.my/jqma |
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| author | Ahmad Fadillah Embong, Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, |
| author_facet | Ahmad Fadillah Embong, Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, |
| author_sort | Ahmad Fadillah Embong, |
| building | Tun Sri Lanang Library |
| collection | Institutional Repository |
| content_provider | Universiti Kebangsaan Malaysia |
| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| description | This paper aims to investigate the simplest non-linear Markov operators which is the quadratic. Study of quadratic stochastic operators (QSOs) is not an easy task as linear operators. Thus, researchers introduced classes of QSOs such as Volterra QSOs, strictly non-Volterra QSOs, Orthogonal preserving QSOs, Centered QSOs etc. However, all the introduced classes were not yet cover the whole set of QSOs. Therefore, we introduce a new class of QSOs, namely b-bistochastic-Volterra QSOs or simply bV-QSOs. In this paper, we describe the canonical form of bV-QSO on two-dimensional simplex. This helps understanding the dynamical behaviours of bV-QSOs for future works. |
| format | Article |
| id | my-ukm.journal.23631 |
| institution | Universiti Kebangsaan Malaysia |
| language | en |
| publishDate | 2024 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal.236312024-06-10T01:34:12Z http://journalarticle.ukm.my/23631/ A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra Ahmad Fadillah Embong, Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, This paper aims to investigate the simplest non-linear Markov operators which is the quadratic. Study of quadratic stochastic operators (QSOs) is not an easy task as linear operators. Thus, researchers introduced classes of QSOs such as Volterra QSOs, strictly non-Volterra QSOs, Orthogonal preserving QSOs, Centered QSOs etc. However, all the introduced classes were not yet cover the whole set of QSOs. Therefore, we introduce a new class of QSOs, namely b-bistochastic-Volterra QSOs or simply bV-QSOs. In this paper, we describe the canonical form of bV-QSO on two-dimensional simplex. This helps understanding the dynamical behaviours of bV-QSOs for future works. Penerbit Universiti Kebangsaan Malaysia 2024-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/23631/1/Paper_15%20-.pdf Ahmad Fadillah Embong, and Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, (2024) A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra. Journal of Quality Measurement and Analysis, 20 (1). pp. 205-213. ISSN 2600-8602 http://www.ukm.my/jqma |
| spellingShingle | Ahmad Fadillah Embong, Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra |
| title | A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra |
| title_full | A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra |
| title_fullStr | A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra |
| title_full_unstemmed | A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra |
| title_short | A class of two-sex population quadratic stochastic operators: B-Bistochastic-Volterra |
| title_sort | class of two-sex population quadratic stochastic operators: b-bistochastic-volterra |
| url | http://journalarticle.ukm.my/23631/1/Paper_15%20-.pdf http://journalarticle.ukm.my/23631/ http://www.ukm.my/jqma |
| url_provider | http://journalarticle.ukm.my/ |