Mendelian and Non-Mendelian Quadratic Operators

Autor: Ganikhodjaev, Nasir, Saburov, Mansoor, Jamilov, Uygun
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