Mendelian and non-Mendelian quadratic operators
In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher’s 1:1 principle. In our model, we always assume that distributions of the same phenotype of female and male populations are equal. We study the evolut...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Natural Publishing
2013
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| Online Access: | http://irep.iium.edu.my/29816/ http://irep.iium.edu.my/29816/1/AMIS_2013.pdf |
| _version_ | 1848780194272247808 |
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| author | Ganikhodjaev, Nasir Saburov, Mansoor Jamilov, Uygun |
| author_facet | Ganikhodjaev, Nasir Saburov, Mansoor Jamilov, Uygun |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual
population system having Fisher’s 1:1 principle. In our model, we always assume that distributions of the same phenotype of female and male populations are equal. We study the evolution of a Mendelian trait. As an application of a non-Mendelian inheritance, we construct a quadratic stochastic operator that describes transmission of ABO and Rh blood groups. |
| first_indexed | 2025-11-14T15:29:47Z |
| format | Article |
| id | iium-29816 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:29:47Z |
| publishDate | 2013 |
| publisher | Natural Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-298162013-12-14T07:05:16Z http://irep.iium.edu.my/29816/ Mendelian and non-Mendelian quadratic operators Ganikhodjaev, Nasir Saburov, Mansoor Jamilov, Uygun QA Mathematics In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher’s 1:1 principle. In our model, we always assume that distributions of the same phenotype of female and male populations are equal. We study the evolution of a Mendelian trait. As an application of a non-Mendelian inheritance, we construct a quadratic stochastic operator that describes transmission of ABO and Rh blood groups. Natural Publishing 2013-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29816/1/AMIS_2013.pdf Ganikhodjaev, Nasir and Saburov, Mansoor and Jamilov, Uygun (2013) Mendelian and non-Mendelian quadratic operators. Applied Mathematics & Information Sciences, 7 (5). pp. 1721-1729. ISSN 1935-0090 http://naturalspublishing.com/show.asp?JorID=1&pgid=0 |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Saburov, Mansoor Jamilov, Uygun Mendelian and non-Mendelian quadratic operators |
| title | Mendelian and non-Mendelian quadratic operators |
| title_full | Mendelian and non-Mendelian quadratic operators |
| title_fullStr | Mendelian and non-Mendelian quadratic operators |
| title_full_unstemmed | Mendelian and non-Mendelian quadratic operators |
| title_short | Mendelian and non-Mendelian quadratic operators |
| title_sort | mendelian and non-mendelian quadratic operators |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/29816/ http://irep.iium.edu.my/29816/ http://irep.iium.edu.my/29816/1/AMIS_2013.pdf |