  In this short communication, 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. A numerical simulation assists
us to get some clear picture about chaotic behaviors of such models.
