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
收藏
页码：1721 / 1729
页数：9
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