In this paper the problem of the HIV/AIDS spread reduction is addressed in the framework of optimal control theory. A model recently proposed has been adopted; it considers two classes of susceptible subjects, the wise people and the people with incautious behaviors, and three classes of infected, the ones still not aware of their status, the pre-AIDS patients and the AIDS ones.
The aim of this paper is to propose an optimal control strategy to face the propagation effects of a virus
outbreak on a network; a recently proposed model is integrated and analysed. Depending on the specific
model caracteristics, the epidemic spread could be more or less dangerous leading to a virus free or to a virus
equilibrium. Two possible controls are introduced: a test on the computers connected in a network and the
antivirus. In a condition of limited resources the best allocation strategy should allow to reduce the spread of
In this paper the problem of modeling and controlling the measles epidemic spread is faced. A new model
is proposed and analysed; besides the categories usually considered in measles modeling, the susceptible,
the exposed, the infected, the removed and, less frequently, the quarantine individuals, two new categories
are herein introduced: the immunosuppressed subjects, that can not be vaccinated, and the patients with an
additional complication, not risky by itself but dangerous if caught togeter with the measles. These two
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