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

机译:基于社区结构的动态网络SIR建模和控制*

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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.
机译:传输动力学已成为复杂系统和复杂网络中的一个热门问题。基于网络拓扑结构研究对通信过程的影响非常迫切。本文重点研究了具有网络社区结构的流行病传播SIR(易感感染恢复)的建模和控制策略。首先,通过分析复杂动态网络的特征,将网络社区结构特征纳入经典的SIR模型。提出了一种新的具有社区结构参数的改进SIR模型。通过数值模拟分析了网络社区结构对疫情传播的影响。此外,本文针对具有社区结构的动态网络SIR提出了三种不同的控制策略。这些控制策略包括根据不同的感染参数和初始值进行的随机免疫,靶标免疫策略和隔离策略。数值模拟表明了我们提出的策略的有效性。该研究结果对流行病的传播和控制具有重要意义。

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