Mutation and chaos in nonlinear models of heredity

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...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Saburov, Mansoor, Nawi, Ashraf Mohamed
Format: Article
Language:English
English
English
Published: Hindawi Publishing Corporation 2014
Subjects:
Online Access:http://irep.iium.edu.my/37506/
http://irep.iium.edu.my/37506/
http://irep.iium.edu.my/37506/
http://irep.iium.edu.my/37506/1/Mutation_and_Chaos_835069.pdf
http://irep.iium.edu.my/37506/4/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_SCOPUS.pdf
http://irep.iium.edu.my/37506/10/37506_Mutation%20and%20chaos%20in%20nonlinear%20models%20of%20heredity_WoS.pdf
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Summary: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.