| 无标度网络上多群体的性传播疾病动力学 |
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| 引用本文： | 张运丽,李有文.无标度网络上多群体的性传播疾病动力学[J].太原师范学院学报(自然科学版),2012,11(2):33-36. |
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| 作者姓名： | 张运丽 李有文 |
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| 作者单位： | 中北大学数学系,山西太原,030051 |
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| 基金项目： | 国家自然科学基金，山西省高等学校优秀青年学术带头人资助 |
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| 摘 要： | 文章为了更深入地研究性传播疾病,在无标度网络上建立多群体的SIRS流行病模型.由阈值理论和方法证明出,当网络规模无穷大时,疾病在流行过程中不具有流行病阈值;而在有界的无标度网络上得出了平衡点的稳定性.
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| 关 键 词： | 动力学模型 性传播疾病 无标度网络 稳定性 |
The Dynamics of Sexually Transmitted Diseases with Multi-Type on Scale-Free Network |
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| Zhang Yunli Li Youwen.The Dynamics of Sexually Transmitted Diseases with Multi-Type on Scale-Free Network[J].Journal of Taiyuan Normal University:Natural Science Edition,2012,11(2):33-36. |
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| Authors: | Zhang Yunli Li Youwen |
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| Institution: | Zhang Yunli Li Youwen(Department of Mathematics,North University of China,Taiyuan 030051,China) |
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| Abstract: | To more deeply study the sexually transmitted diseases,according to its character,we considered an SIRS model with multi-type on scale-free networks.The threshold value method was introduced in the model.The absence of a threshold in infinite scale-free network is proved.For a hard cut off scale-free network,we also analysis the stability of the equilibrium. |
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| Keywords: | dynamic model sexually transmitted diseases scale free networks stability |
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