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Mutation and chaos in nonlinear models of heredity.


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.

SUBMITTER: Ganikhodjaev N 

PROVIDER: S-EPMC4130324 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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