Reverse-feeding effect of epidemic by propagators in two-layered networks

doi:10.1088/1674-1056/25/2/028701

中国物理B ›› 2016, Vol. 25 ›› Issue (2): 28701-028701.doi: 10.1088/1674-1056/25/2/028701

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Reverse-feeding effect of epidemic by propagators in two-layered networks

Dayu Wu(吴大宇), Yanping Zhao(赵艳萍), Muhua Zheng(郑木华), Jie Zhou(周杰), Zonghua Liu(刘宗华)

Department of Physics, East China Normal University, Shanghai 200062, China

收稿日期:2015-09-04 修回日期:2015-10-10 出版日期:2016-02-05 发布日期:2016-02-05
通讯作者: Zonghua Liu E-mail:zhliu@phy.ecnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11135001, 11375066, and 11405059) and the National Basic Key Program of China (Grant No. 2013CB834100).

Reverse-feeding effect of epidemic by propagators in two-layered networks

Dayu Wu(吴大宇), Yanping Zhao(赵艳萍), Muhua Zheng(郑木华), Jie Zhou(周杰), Zonghua Liu(刘宗华)

Department of Physics, East China Normal University, Shanghai 200062, China

Received:2015-09-04 Revised:2015-10-10 Online:2016-02-05 Published:2016-02-05
Contact: Zonghua Liu E-mail:zhliu@phy.ecnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11135001, 11375066, and 11405059) and the National Basic Key Program of China (Grant No. 2013CB834100).

摘要/Abstract

摘要： Epidemic spreading has been studied for a long time and is currently focused on the spreading of multiple pathogens, especially in multiplex networks. However, little attention has been paid to the case where the mutual influence between different pathogens comes from a fraction of epidemic propagators, such as bisexual people in two separated groups of heterosexual and homosexual people. We here study this topic by presenting a network model of two layers connected by impulsive links, in contrast to the persistent links in each layer. We let each layer have a distinct pathogen and their interactive infection is implemented by a fraction of propagators jumping between the corresponding pairs of nodes in the two layers. By this model we show that (i) the propagators take the key role to transmit pathogens from one layer to the other, which significantly influences the stabilized epidemics; (ii) the epidemic thresholds will be changed by the propagators; and (iii) a reverse-feeding effect can be expected when the infective rate is smaller than its threshold of isolated spreading. A theoretical analysis is presented to explain the numerical results.

关键词: propagators, complex network, two pathogens, epidemic spreading

Abstract: Epidemic spreading has been studied for a long time and is currently focused on the spreading of multiple pathogens, especially in multiplex networks. However, little attention has been paid to the case where the mutual influence between different pathogens comes from a fraction of epidemic propagators, such as bisexual people in two separated groups of heterosexual and homosexual people. We here study this topic by presenting a network model of two layers connected by impulsive links, in contrast to the persistent links in each layer. We let each layer have a distinct pathogen and their interactive infection is implemented by a fraction of propagators jumping between the corresponding pairs of nodes in the two layers. By this model we show that (i) the propagators take the key role to transmit pathogens from one layer to the other, which significantly influences the stabilized epidemics; (ii) the epidemic thresholds will be changed by the propagators; and (iii) a reverse-feeding effect can be expected when the infective rate is smaller than its threshold of isolated spreading. A theoretical analysis is presented to explain the numerical results.

Key words: propagators, complex network, two pathogens, epidemic spreading

中图分类号: (Circadian rhythms)

87.18.Yt

05.45.Xt (Synchronization; coupled oscillators) 87.18.Sn (Neural networks and synaptic communication)

吴大宇, 赵艳萍, 郑木华, 周杰, 刘宗华. Reverse-feeding effect of epidemic by propagators in two-layered networks[J]. 中国物理B, 2016, 25(2): 28701-028701.

Dayu Wu(吴大宇), Yanping Zhao(赵艳萍), Muhua Zheng(郑木华), Jie Zhou(周杰), Zonghua Liu(刘宗华). Reverse-feeding effect of epidemic by propagators in two-layered networks[J]. Chin. Phys. B, 2016, 25(2): 28701-028701.

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Reverse-feeding effect of epidemic by propagators in two-layered networks

Reverse-feeding effect of epidemic by propagators in two-layered networks

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