Dynamics analysis of SIR epidemic model with correlation coefficients and clustering coefficient in networks

被引：12
|
作者：
Zhang, Juping [1 ,2 ]
Yang, Chan [1 ,2 ]
Jin, Zhen [1 ,2 ]
Li, Jia [3 ]
机构：
[1] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Shanxi Key Lab Math Tech & Big Data Anal Dis Cont, Taiyuan 030006, Shanxi, Peoples R China
[3] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA
来源：
JOURNAL OF THEORETICAL BIOLOGY | 2018年 / 449卷
关键词：
Correlation coefficients; Clustering coefficient; Pair approximation; Stability; Basic reproduction number; SEXUALLY-TRANSMITTED-DISEASES; INFECTIOUS-DISEASES; PAIR APPROXIMATION; HIV TRANSMISSIONS; COMPLEX NETWORKS; PARTNERSHIPS; SPREAD; STAGE;
D O I：
10.1016/j.jtbi.2018.04.007
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, the correlation coefficients between nodes in states are used as dynamic variables, and we construct SIR epidemic dynamic models with correlation coefficients by using the pair approximation method in static networks and dynamic networks, respectively. Considering the clustering coefficient of the network, we analytically investigate the existence and the local asymptotic stability of each equilibrium of these models and derive threshold values for the prevalence of diseases. Additionally, we obtain two equivalent epidemic thresholds in dynamic networks, which are compared with the results of the mean field equations. (C) 2018 Elsevier Ltd. All rights reserved.
引用
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页码：1 / 13
页数：13
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