| 基于随机占优理论的网络传播与免疫特性研究 |
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| 引用本文： | 房艳君,赵庆祯.基于随机占优理论的网络传播与免疫特性研究[J].数学的实践与认识,2010,40(18). |
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| 作者姓名： | 房艳君 赵庆祯 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金，山东省科技攻关项目 |
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| 摘 要： | 以传统SIS传播模型为例,建立网络传播稳定状态方程式,运用随机占优理论,比较不同网络结构的传播稳定状态,利用比较结果,进行网络免疫,在疾病爆发或信息传播过程中根据网络结构控制网络传播的方向和速度,对社会中涉及传播的问题提供一种新的解决思路.
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| 关 键 词： | 传播 SIS模型 度分布 随机占优理论 |
Diffusion and Immunity Properties of Complex Networks Via Stochastic Dominance |
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| FANG Yan-jun,ZHAO Qing-zhen.Diffusion and Immunity Properties of Complex Networks Via Stochastic Dominance[J].Mathematics in Practice and Theory,2010,40(18). |
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| Authors: | FANG Yan-jun ZHAO Qing-zhen |
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| Abstract: | The function of stability states which takes degree distribution as variable is established.Through takeing SIS model for example and useing stochastic dominance theory, it compared the stability states between different structures.It is showed the relationship between degree distribution and the diffusion spreading rate.It is immunized based on this relationship and supplied a method to control spreading. |
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| Keywords: | diffusion SIS model degree distribution stochastic dominance |
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