On optimal control of information spreading process

On the basis of the mathematical model describing the time dynamic of the information spreading the problem of optimal control over external limited resources spending is raised in order to maximize the number of people perceptived the information. The model allows to study the character of growing informational influence, depending on the object's behavioural characteristics, and gives the possibility to find, using the methods of optimal control theory, the most advantageous solutions of such an influence on some social group. The optimal control problem that has been raised is examined by analytical methods and the numerical solution is found. On the basis of the model the numerical simulation is conducted.