The spread of disease with birth and death on networks
The spread of disease with birth and death on networks
复制标题
DOI：
10.1088/1742-5468/2004/08/p08008
复制
发表时间：
2004-08-01
影响因子：
2.4
通讯作者：
Yang, ZR
中科院分区：
文献类型：
--
作者：
Liu, JZ;Tang, YF;Yang, ZR
我们在常规和无标度网络上引入了修改后的流行病模型。在此模型中，我们考虑出生率 delta、治愈率 gamma、感染率 lambda 以及死亡率 alpha 和 beta。通过平均场分析，我们发现，在常规网络上，存在依赖于参数 delta、gamma、alpha 和 beta 的流行阈值 lambda(c)，而对于幂律度分布网络，流行阈值在热力学极限中不存在。结果与标准 SIS 模型的结果相同。这提醒我们，网络结构在传染病的传播特性中起着非常重要的作用。
We introduce a modified epidemic model on regular and scale-free networks. In this model, we consider the birth rate delta, cure rate gamma, infection rate lambda, and death rates alpha and beta. Through mean-field analysis, we find that on a regular network there is an epidemic threshold lambda(c) dependent on the parameters delta, gamma, alpha, and beta, while for a power law degree distribution network the epidemic threshold is absent in the thermodynamic limit. The result is the same as that of the standard SIS model. This reminds us that the structure of the networks plays a very important role in the spreading properties of infectious disease.