  Understanding mosquitoes life cycle is of great interest presently because of
the increasing impact of vector borne diseases in several countries. There is
evidence of oscillations in mosquito populations independent of seasonality,
still unexplained, based on observations both in laboratories and in nature. We
propose a simple mathematical model of egg hatching enhancement by larvae which
produces such oscillations that conveys a possible explanation. We propose both
a theoretical analysis, based on slow-fast dynamics and Hopf bifurcation, and
numerical investigations in order to shed some light on the mechanisms at work
in this model.

Dynamical Systems