Mutation and Chaos in Nonlinear Models of Heredity

الملخص EN

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.