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复杂网络上两城市之间疾病传播的建模与分析
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作者 潘玮 靳祯 《中北大学学报(自然科学版)》 北大核心 2017年第5期518-523,共6页
针对两城市间不同的迁入迁出对于疾病传播的影响,建立了复杂网络上的两城市疾病传播SIS(Susceptible-Infected-Susceptible)模型,证明了无病平衡点的存在性和全局吸引性.通过数值模拟和参数的敏感性分析发现:当R_0>1时,在城市之间的... 针对两城市间不同的迁入迁出对于疾病传播的影响,建立了复杂网络上的两城市疾病传播SIS(Susceptible-Infected-Susceptible)模型,证明了无病平衡点的存在性和全局吸引性.通过数值模拟和参数的敏感性分析发现:当R_0>1时,在城市之间的往返出行可以将一个城市的局部疫情很快传到另一个城市;当R_0<1时,疾病在有移民的迁入和人口迁出的城市更容易灭绝,而当R_0>1时,疾病在有移民迁入和人口迁出的城市传播更慢且疾病规模更小;进一步得到移民的迁入对疾病传播的基本再生数比较敏感,从而可以通过增加移民迁入的方式达到控制疾病的目的. 展开更多
关键词 复杂网络 疾病传播模型 基本再生数 敏感性分析
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Epidemic Spreading Model Based on Social Active Degree in Social Networks 被引量:4
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作者 WANG Yanben CAI Wandong 《China Communications》 SCIE CSCD 2015年第12期101-108,共8页
In this paper,an improved Susceptible-Infected-Susceptible(SIS) epidemic spreading model is proposed in order to provide a theoretical method to analyze and predict the spreading of diseases.This model is based on the... In this paper,an improved Susceptible-Infected-Susceptible(SIS) epidemic spreading model is proposed in order to provide a theoretical method to analyze and predict the spreading of diseases.This model is based on the following ideas:in social networks,the contact probability between nodes is decided by their social distances and their active degrees.The contact probability of two indirectly connected nodes is decided by the shortest path between them.Theoretical analysis and simulation experiment were conducted to evaluate the performance of this improved model.Because the proposed model is independent of the network structure,simulation experiments were done in several kinds of networks,namely the ER network,the random regular network,the WS small world network,and the BA scale-free network,in order to study the influences of certain factors have on the epidemic spreading,such as the social contact active degree,the network structure,the average degree,etc.This improved model provides an idea for studying the spreading rule of computer virus,attitudes,fashion styles and public opinions in social networks. 展开更多
关键词 spreading shortest epidemic connected decided indirectly eigenvalue dynamical friends Frobenius
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