Mendelian and Non-Mendelian Quadratic Operators
Autor: | Ganikhodjaev, Nasir, Saburov, Mansoor, Jamilov, Uygun |
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Rok vydání: | 2013 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher's {\textbf{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 {\textbf{ABO}} and Rh blood groups. Comment: The paper is 14 pages and will appear in Appl. Math. Inf. Sci. 7, No. 5, 1721-1729 (2013) |
Databáze: | arXiv |
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