A Node-Based SIRS Epidemic Model with Infective Media on Complex Networks
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We focus on the node-based epidemic modeling for networks, introduce the propagation medium, and propose a node-based Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model with infective media.
Theoretical investigations show that the endemic equilibrium is globally asymptotically stable.
Numerical examples of three typical network structures also verify the theoretical results.
Furthermore, comparison between network node degree and its infected percents implies that there is a strong positive correlation between both; namely, the node with bigger degree is infected with more percents.
Finally, we discuss the impact of the epidemic spreading rate of media as well as the effective recovered rate on the network average infected state.
Theoretical and numerical results show that (1) network average infected percents go up (down) with the increase of the infected rate of media (the effective recovered rate); (2) the infected rate of media has almost no influence on network average infected percents for the fully connected network and NW small-world network; (3) network average infected percents decrease exponentially with the increase of the effective recovered rate, implying that the percents can be controlled at low level by an appropriate large effective recovered rate.
American Psychological Association (APA)
Zheng, Leyi& Tang, Longkun. 2019. A Node-Based SIRS Epidemic Model with Infective Media on Complex Networks. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1131282
Modern Language Association (MLA)
Zheng, Leyi& Tang, Longkun. A Node-Based SIRS Epidemic Model with Infective Media on Complex Networks. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1131282
American Medical Association (AMA)
Zheng, Leyi& Tang, Longkun. A Node-Based SIRS Epidemic Model with Infective Media on Complex Networks. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1131282
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131282