- Bosh Sahifa
- Ma'lumot

A.T.Absalamov, B.A.Ziyadinov

In this paper we study dynamical systems generated by a gonosomal evolution

operator of a bisexual population. We find explicitly all (uncountable set) of fixed points of the

operator. It is shown that each fixed point has eigenvalues less or equal to 1. Moreover, we show that

each trajectory converges to a fixed point, i.e. the operator is reqular. There are uncountable family of

invariant sets each of which consisting unique fixed point. Thus there is one-to-one correspondence

between such invariant sets and the set of fixed points. Any trajectory started at a point of the invariant

set converges to the corresponding fixed point.