期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 449, 期 -, 页码 1-13出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2018.04.007
关键词
Correlation coefficients; Clustering coefficient; Pair approximation; Stability; Basic reproduction number
资金
- National Natural Sciences Foundation of China [11331009, 11301491, 11501339]
- Youth Science Fund of Shanxi Province [201601D021015]
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.
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