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arXiv · 1304.5710

Mutation and Chaos in Nonlinear Models of Heredity

Nasir Ganikhodjaev·Mansoor Saburov·Ashraf Mohamed Nawi
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Abstract

In this short communication, we shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a possibility to mutate, that is, to change into a gene of the other kind. We investigate the derived models. A numerical simulation assists us to get some clear picture about chaotic behaviors of such models.

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Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi. 2013-04-21. Mutation and Chaos in Nonlinear Models of Heredity. https://arxiv.org/abs/1304.5710

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