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arXiv · 1304.5471

Mendelian and Non-Mendelian Quadratic Operators

Nasir Ganikhodjaev·Mansoor Saburov·Uygun Jamilov
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Abstract

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.

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Nasir Ganikhodjaev, Mansoor Saburov, Uygun Jamilov. 2013-04-19. Mendelian and Non-Mendelian Quadratic Operators. https://arxiv.org/abs/1304.5471

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