  We study the discrete-time dynamical systems associated to a stage-structured
wild and sterile mosquito population. We describe all fixed points of the
evolution operator (which depends on five parameters) of mosquito population
and show that depending on the parameters this operator may have unique, two
and infinitely many fixed points. Under some general conditions on parameters
we determine type of each fixed point and give the limit points of the
dynamical system. Moreover, for a special case of parameters we give full
analysis of corresponding dynamical system. We give some biological
interpretations of our results.
