Dynamics Modeling and Analysis of SIS Epidemic Spreading in Cluster Networks
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we propose and study an SIS epidemic model with clustering characteristics based on networks.
Using the method of the existence of positive equilibrium point, we obtain the formula of the basic reproduction number R0.
Furthermore, by constructing Lyapunov function, we also prove that the disease-free equilibrium of the model is globally asymptotically stable when R0<1.
When R0>1, there is only one positive equilibrium point which is globally asymptotically stable.
It is also shown that the infection proportion and the basic reproduction number R0 increases as the clustering coefficient increases when the average degree of networks is fixed.
American Psychological Association (APA)
Tian, Jingjing& Li, Shuping. 2019. Dynamics Modeling and Analysis of SIS Epidemic Spreading in Cluster Networks. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1146425
Modern Language Association (MLA)
Tian, Jingjing& Li, Shuping. Dynamics Modeling and Analysis of SIS Epidemic Spreading in Cluster Networks. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1146425
American Medical Association (AMA)
Tian, Jingjing& Li, Shuping. Dynamics Modeling and Analysis of SIS Epidemic Spreading in Cluster Networks. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1146425
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146425