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The paper considers an approach to modeling and simulation of competition in Internet between the antagonistic teams of software agents for network resources availability. We differentiate two teams:(1) the attack team realizing Distributed Denial of Service (DDoS) attacks and (2) the defense team protecting against these attacks. Teamwork based approach for modeling and simulation of agents’ competition is considered. The structure and operation of agents’ teams, their ontologies, main classes and roles of agents are defined. We describe in detail the case-study which demonstrates main ideas of the approach suggested.