  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.
