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中文摘要：
基于无标度网络的特点，提出了一类具有时滞特性的SIRS传播模型．首先利用平均场理论对疾病的传播行为进行了理论分析，得到了该传播模型的传播阈值，证明了疾病的爆发与消亡完全由传播阈值确定，讨论了拓扑结构、时滞、节点的迁入迁出对传播阈值的影响；然后选取相应的系统参数，对系统进行数值仿真，验证了所得的结论．
英文摘要：
A SIRS epidemic model with time delay on scale-free networks was proposed. Based on the mean field theory, the spreading dynamics of the disease was analyzed and a spreading critical thresh- old was derived. Theoretical analyses indicate that the outbreak or demise of the disease is entirely de- termined by the threshold. Moreover, the impact of the topology of networks, time delay and nodes＇ immigration/emigration on the critical threshold was analyzed. Then numerical simulations were pres- ented to illustrate the results with the theoretical analysis.
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