Modeling and control of dynamic network SIR based on community structure*

Transmission dynamics has become one hot issue in complex systems and complex networks. It is very urgent to study the influences on the communication process based on the network topology structure. This paper focuses on modeling and control strategy of epidemic transmission SIR (Susceptible-Infected-Recovered) with community structure of networks. Firstly, network community structure features are considered into the classical SIR model by analyzing the characteristic of complex dynamic network. A new modified SIR model with community structure parameters is proposed. The influence of network community structure on epidemic spread is analyzed by numerical simulation. Furthermore, this paper proposes three different control strategies for dynamic network SIR with community structure. These control strategies include random immunization, target immunization strategy and quarantine strategy by different infected parameters and initial value. Numerical simulation shows the validity of our proposed strategies. The research result is very significant for epidemic spreading and control.