基于社区结构的动态网络SIR建模与控制

Degang Xu, Xiyang Xu
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引用次数: 4

摘要

传输动力学已成为复杂系统和复杂网络中的一个热点问题。研究基于网络拓扑结构对通信过程的影响十分迫切。本文研究了具有社区网络结构的传染病传播SIR(易感-感染-恢复)模型及其控制策略。首先,通过分析复杂动态网络的特性,将网络社区结构特征纳入经典SIR模型;提出了一种带有团体结构参数的改进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。针对具有社团结构的动态SIR网络,提出了三种不同的控制策略。这些控制策略包括随机免疫策略、目标免疫策略和根据不同感染参数和初始值的隔离策略。数值仿真结果表明了所提策略的有效性。研究结果对疫情的传播和控制具有重要意义。
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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.
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