On Problem of Conflict Interaction of Two Players in the Network Environment

In this work the single server model with counteraction is considered. We extend the classic fluid model using results from the theory of conflict controlled processes. Our new model describes conflict processes in neworks. For this model were defined two players - an attacker and a defender. Dynamic of the system depends on strategies of these players. There are formulated conditions that guarantee possibility of winning of one player. This fact proved by the main theorem. Theoretical results were illustrated on the experimental computational modeling.