  In this article, we study in details the fluid dynamics system proposed in
Clarelli et al (2013) to model the formation of cyanobacteria biofilms. After
analyzing the linear stability of the unique non trivial equilibrium of the
system, we introduce in the model the influence of light and temperature, which
are two important factors for the development of cyanobacteria biofilm. Since
the values of the coefficients we use for our simulations are estimated through
information found in the literature, some sensitivity and robustness analyses
on these parameters are performed. All these elements enable us to control and
to validate the model we have already derived and to present some numerical
simulations in the 2D and the 3D cases.
