Mendelian and Non-Mendelian Quadratic Operators

Authors

Nasir Ganikhodjaev, Faculty of Sciences, International Islamic University Malaysia P.O. Box, 141, 25200, Kuantan, Pahang, MalaysiaFollow
Mansoor Saburov
Uygun Jamilov

Author Country (or Countries)

Malaysia

Abstract

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.

Suggested Reviewers

N/A

Recommended Citation

Ganikhodjaev, Nasir; Saburov, Mansoor; and Jamilov, Uygun (2013) "Mendelian and Non-Mendelian Quadratic Operators," Applied Mathematics & Information Sciences: Vol. 07: Iss. 5, Article 9.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss5/9