| 面向对等网络SEInR传播模型的理论分析 |
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| 引用本文： | 丁军平,蔡皖东.面向对等网络SEInR传播模型的理论分析[J].西安交通大学学报,2012(2):31-37. |
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| 作者姓名： | 丁军平 蔡皖东 |
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| 作者单位： | 西北工业大学计算机学院 |
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| 基金项目： | 国家“863”计划资助项目(2009AA01Z424);西北工业大学基础研究基金资助项目(JC201149) |
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| 摘 要： | 针对现有传播动力学模型不能准确描述对等(P2P)网络文件传播过程中的问题,对现有SEIR模型进行了改进,并为此建立了SEInR传播动力学模型.根据SEInR模型的动力学方程组建立了基本再生数的计算公式,用来研究传播模型的无病平衡点和有病平衡点,同时对平衡点的存在性和稳定性进行了详细的理论分析和数学证明.通过对模型中的各种参数变化的仿真分析表明,所提模型能够更准确地模拟P2P文件的传播过程,模型参数能够对P2P文件传播过程中的影响因素进行准确的描述.
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| 关 键 词： | 文件传播 传播动力学 SEInR模型 基本再生数 平衡点 |
Theoretical Analysis of SEInR Spreading Model on P2P Specific Information |
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| DING Junping,CAI Wandong.Theoretical Analysis of SEInR Spreading Model on P2P Specific Information[J].Journal of Xi'an Jiaotong University,2012(2):31-37. |
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| Authors: | DING Junping CAI Wandong |
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| Institution: | (College of Computer Science,Northwestern Polytechnical University,Xi′an 710072,China) |
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| Abstract: | Improvement of the current SEIR spreading dynamics model is studied and a SEInR spreading dynamics model is established,since the existing spreading dynamics model can not accurately describe P2P file spreading process.The formula of basic reproductive number is established based on the SEInR model dynamics equations.No-disease equilibrium point and disease equilibrium point of the spreading model are studied,and detailed analysis and provability are given to the existence and stability of these equilibrium points.Simulation analysis of each parameter variation in the model is performed.The simulation results show that the improved SEInR model can simulate P2P file spreading process more accurately,and that the influencing factors during the spreading of P2P file can also be accurately described by parameters in the model. |
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| Keywords: | file spreading spreading dynamics SEIR model basic reproductive number equilibrium point |
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