Mendelian and Non-Mendelian Quadratic Operators

被引：24

作者：

Ganikhodjaev, Nasir ^{[1
]}

Saburov, Mansoor ^{[1
]}

Jamilov, Uygun ^{[2
]}

机构：

[1] Int Islamic Univ Malaysia, Fac Sci, Kuantan 25200, Pahang, Malaysia

[2] Inst Math & Informat Technol, Tashkent, Uzbekistan

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 05期

关键词：

Mendelian inheritance; Non-Mendelian inheritance; Fisher's principle; Quadratic stochastic operator;

D O I：

10.12785/amis/070509

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1721 / 1729

页数：9

共 22 条

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