  The process of contagiousness spread modelling is well-known in epidemiology.
However, the application of spread modelling to banking market is quite recent.
In this work, we present a system of ordinary differential equations,
simulating data from the largest European banks. Then, an optimal control
problem is formulated in order to study the impact of a possible measure of the
Central Bank in the economy. The proposed approach enables qualitative
specifications of contagion in banking obtainment and an adequate analysis and
prognosis within the financial sector development and macroeconomic as a whole.
We show that our model describes well the reality of the largest European
banks. Simulations were done using MATLAB and BOCOP optimal control solver, and
the main results are taken for three distinct scenarios.
