Modeling and analysis of epidemic spreading on community network with node’s birth and death

doi:10.1016/S1005-8885(16)60061-4

中国邮电高校学报(英文) ›› 2016, Vol. 23 ›› Issue (5): 82-87.doi: 10.1016/S1005-8885(16)60061-4

Modeling and analysis of epidemic spreading on community network with node’s birth and death

李婵婵1,蒋国平2

南京邮电大学

收稿日期:2016-02-11 修回日期:2016-10-12 出版日期:2016-10-30 发布日期:2016-10-26
通讯作者: 李婵婵 E-mail:2011040135@njupt.edu.cn
基金资助:
the National Natural Science Foundation of China , the Research Foundation for Humanities and Social Sciences of Ministry of Education , the Six Projects Sponsoring Talent Summits of Jiangsu Province .

Modeling and analysis of epidemic spreading on community network with node’s birth and death

Li Chanchan1, Jiang Guoping2

Received:2016-02-11 Revised:2016-10-12 Online:2016-10-30 Published:2016-10-26
Supported by:
the National Natural Science Foundation of China , the Research Foundation for Humanities and Social Sciences of Ministry of Education , the Six Projects Sponsoring Talent Summits of Jiangsu Province .

摘要/Abstract

摘要： In this paper, a modified susceptible infected susceptible (SIS) epidemic model is proposed on community structure networks considering birth and death of node. For the existence of node’s death would change the topology of global network, the characteristic of network with death rate is discussed. Then we study the epidemiology behavior based on the mean-field theory and derive the relationships between epidemic threshold and other parameters, such as modularity coefficient, birth rate and death rates (caused by disease or other reasons). In addition, the stability of endemic equilibrium is analyzed. Theoretical analysis and simulations show that the epidemic threshold increases with the increase of two kinds of death rates, while it decreases with the increase of the modularity coefficient and network size.

关键词: community structure, epidemic dynamics, complex networks, mean-field theory

Abstract: In this paper, a modified susceptible infected susceptible (SIS) epidemic model is proposed on community structure networks considering birth and death of node. For the existence of node’s death would change the topology of global network, the characteristic of network with death rate is discussed. Then we study the epidemiology behavior based on the mean-field theory and derive the relationships between epidemic threshold and other parameters, such as modularity coefficient, birth rate and death rates (caused by disease or other reasons). In addition, the stability of endemic equilibrium is analyzed. Theoretical analysis and simulations show that the epidemic threshold increases with the increase of two kinds of death rates, while it decreases with the increase of the modularity coefficient and network size.

Key words: community structure, epidemic dynamics, complex networks, mean-field theory

中图分类号:

Li Chanchan, Jiang Guoping. Modeling and analysis of epidemic spreading on community network with node’s birth and death[J]. JOURNAL OF CHINA UNIVERSITIES OF POSTS AND TELECOM, 2016, 23(5): 82-87.

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Modeling and analysis of epidemic spreading on community network with node’s birth and death

Modeling and analysis of epidemic spreading on community network with node’s birth and death

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