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Mutation and chaos in nonlinear models of heredity

Ganikhodjaev, Nasir and Saburov, Mansoor and Nawi, Ashraf Mohamed (2014) Mutation and chaos in nonlinear models of heredity. The Scientific World Journal, 2014. 835069(1)-835069(11). ISSN 1537-744X

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Abstract

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 and observe chaotic behaviors of such models.

Item Type: Article (Journal)
Additional Information: 4430/37506
Uncontrolled Keywords: mutation, chaos
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 04 Aug 2014 09:23
Last Modified: 25 Sep 2017 21:43
URI: http://irep.iium.edu.my/id/eprint/37506

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