  Recently, continuous-time dynamical systems, based on systems of ordinary
differential equations, for mosquito populations are studied. In this paper we
consider discrete-time dynamical system generated by an evolution quadratic
operator of mosquito population and show that this system has two fixed points,
which are saddle points (under some conditions on the parameters of the
system). We construct an evolution algebra taking its matrix of structural
constants equal to the Jacobian of the quadratic operator at a fixed point.
Idempotent and absolute nilpotent elements, simplicity properties and some
limit points of the evolution operator corresponding to the evolution algebra
are studied. We give some biological interpretations of our results.
