Mendelian and non-Mendelian quadratic operators

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...

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Main Authors: Ganikhodjaev, Nasir, Saburov, Mansoor, Jamilov, Uygun
Format: Article
Language:English
Published: Natural Publishing 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/29816/
http://irep.iium.edu.my/29816/
http://irep.iium.edu.my/29816/1/AMIS_2013.pdf
id iium-29816
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Saburov, Mansoor
Jamilov, Uygun
Mendelian and non-Mendelian quadratic operators
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.
format Article
author Ganikhodjaev, Nasir
Saburov, Mansoor
Jamilov, Uygun
author_facet Ganikhodjaev, Nasir
Saburov, Mansoor
Jamilov, Uygun
author_sort Ganikhodjaev, Nasir
title Mendelian and non-Mendelian quadratic operators
title_short 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_sort mendelian and non-mendelian quadratic operators
publisher Natural Publishing
publishDate 2013
url http://irep.iium.edu.my/29816/
http://irep.iium.edu.my/29816/
http://irep.iium.edu.my/29816/1/AMIS_2013.pdf
first_indexed 2023-09-18T20:43:48Z
last_indexed 2023-09-18T20:43:48Z
_version_ 1777409540652793856

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