Mutation and Chaos in Nonlinear Models of Heredity

We shall explore a nonlinear discrete dynamical system that naturally occursin population systems to describe a transmission of a trait from parents to their offspring. We considera Mendelian inheritance for a single gene with three alleles and assume that to form a new generation,each gene has a po...

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Veröffentlicht in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-11
Hauptverfasser: Ganikhodjaev, N., Nawi, Ashraf Mohamed, Saburov, Mansoor
Format: Artikel
Sprache:eng
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Zusammenfassung:We shall explore a nonlinear discrete dynamical system that naturally occursin population systems to describe a transmission of a trait from parents to their offspring. We considera 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 investigatethe derived models and observe chaotic behaviors of such models.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/835069