Epidemic spreading with nonlinear infectivity in weighted scale-free networks
Epidemic spreading with nonlinear infectivity in weighted scale-free networks
复制标题
加权无标度网络中具有非线性传染性的流行病传播
DOI：
10.1016/j.physa.2010.09.038
复制
发表时间：
2011-02-01
影响因子：
3.3
通讯作者：
Zhou, Shuigeng
中科院分区：
文献类型：
--
作者：
Chu, Xiangwei;Zhang, Zhongzhi;Zhou, Shuigeng
本文研究了具有非线性传染性和加权传播率的加权无标度网络中SIR模型的传染病传播问题。具体地说，我们引入传染性指数α和权重指数β到流行病系统中，然后考察α和β对流行病传播的影响。我们可以调整alpha和beta的值来重建一个非零的有限的流行病阈值。此外，我们还发现，传染性指数α不仅对流行阈值，而且对流行率有更强的影响。此外，还有趣地看到，没有流行阈值似乎并不令人沮丧，因为随着传播率λ的增加，流行率的增长要慢得多。(C)2010爱思唯尔有限公司版权所有。
In this paper, we investigate the epidemic spreading for the SIR model in weighted scale-free networks with the nonlinear infectivity and weighted transmission rate. Concretely, we introduce the infectivity exponent alpha and the weight exponent beta into the epidemic system, then examine the impact of alpha and beta on the epidemic spreading. We show that one can adjust the values of alpha and beta to rebuild a nonzero finite epidemic threshold. Furthermore, we also find the infectivity exponent alpha has a stronger effect not only on the epidemic threshold, but also on the epidemic prevalence. In addition, it is also interesting to see that the absence of the epidemic threshold appears not very dejected, since the prevalence grows much more slowly as the transmission rate lambda increases. (C) 2010 Elsevier B.V. All rights reserved.