Continuous-time dynamic models of mob excitation

The mob excitation control problem is considered using the continuous-time modification of well-known threshold model of collected behavior introduced by Granovetter. Every agent decides whether to participate in a collective action or to be passive. Here we investigate the case when there is a number of agents which are active by default. These agents are called here “provokers”. We analyze the possibility to control the final state of the whole mob. The desired state of the mob is achieved by introducing an appropriate number of “provokers” at each moment of control.