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
相关论文
共 50 条
  • [11] NON-MENDELIAN MEGAGAMETOGENESIS IN ARABIDOPSIS
    REDEI, GP
    GENETICS, 1965, 51 (06) : 857 - &
  • [12] NON-MENDELIAN INHERITANCE IN CHLAMYDOMONAS
    SAGER, R
    GENETICS, 1955, 40 (05) : 594 - 594
  • [13] Colorectal Cancer Risk between Mendelian and Non-Mendelian Inheritance
    Hibler, Elizabeth A.
    Szymaniak, Brittany
    Abbass, Mohammad Ali
    CLINICS IN COLON AND RECTAL SURGERY, 2024, 37 (03) : 140 - 145
  • [14] Genetics in Parkinson disease: Mendelian versus non-Mendelian inheritance
    Hernandez, Dena G.
    Reed, Xylena
    Singleton, Andrew B.
    JOURNAL OF NEUROCHEMISTRY, 2016, 139 : 59 - 74
  • [15] NOMENCLATURE AND NON-MENDELIAN (CLONAL) VERTEBRATES
    ECHELLE, AA
    SYSTEMATIC ZOOLOGY, 1990, 39 (01): : 70 - 78
  • [16] Sexual dimorphism in non-mendelian inheritance
    Vige, Alexandre
    Gallou-Kabani, Catherine
    Junien, Claudine
    PEDIATRIC RESEARCH, 2008, 63 (04) : 340 - 347
  • [17] Evolution algebras and non-Mendelian genetics
    不详
    EVOLUTION ALGEBRAS AND THEIR APPLICATIONS, 2008, 1921 : 91 - 107
  • [18] Understanding Non-Mendelian Genetic Risk
    Coetzee, Gerhard A.
    CURRENT GENOMICS, 2019, 20 (05) : 322 - 324
  • [19] Non-Mendelian determinants of morphology in fungi
    Malagnac, F
    Silar, P
    CURRENT OPINION IN MICROBIOLOGY, 2003, 6 (06) : 641 - 645
  • [20] NON-MENDELIAN INHERITANCE IN BLEPHARISMA INTERMEDIUM
    ISQUITH, IR
    HIRSHFIE.HI
    JOURNAL OF PROTOZOOLOGY, 1968, 15 (03): : 513 - &
12345