A SEIQR Model considering the Effects of Different Quarantined Rates on Worm Propagation in Mobile Internet
Joint Authors
Zhu, Jianhua
Lai, Chaoan
Zheng, Yonghua
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
At present, Wi-Fi is a common medium for connecting smart devices to networks in factories.
The application of mobile Internet in smart manufacturing system (SMIS) speeds up the process of smart manufacturing but also increases SMIS vulnerability to worm attack from mobile networks.
In this paper, we propose a new SLBQR (susceptible-latent-breaking out-quarantined-recovered) model considering vaccination strategies with temporary immunity and quarantined strategies.
Based on basic reproduction number, we give expression of quarantined rate φ and obtain the threshold ϕ∗ of quarantined rate φ such that the worm-free equilibrium is asymptotically stable when ϕ≥ϕ∗, implying that the worm dies out eventually and its attack remains under control; the endemic equilibrium is asymptotically stable when φ<φ∗, namely, the worm is always persistent and spreading within a population.
Hence, we give the quarantined strategy ϕ≥ϕ∗ to suppress the spread of virus.
In addition, by theoretical analysis, we can conclude that even if the immunity time is unlimited, endemic equilibrium will not become worm-free.
In other words, there is a mutation in the virus, which proves that there is no vaccination strategy with permanent immunity.
Finally, we simulate our model with different temporary immune time and quarantine rates, and the results verify our theorem.
American Psychological Association (APA)
Zheng, Yonghua& Zhu, Jianhua& Lai, Chaoan. 2020. A SEIQR Model considering the Effects of Different Quarantined Rates on Worm Propagation in Mobile Internet. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1200916
Modern Language Association (MLA)
Zheng, Yonghua…[et al.]. A SEIQR Model considering the Effects of Different Quarantined Rates on Worm Propagation in Mobile Internet. Mathematical Problems in Engineering No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1200916
American Medical Association (AMA)
Zheng, Yonghua& Zhu, Jianhua& Lai, Chaoan. A SEIQR Model considering the Effects of Different Quarantined Rates on Worm Propagation in Mobile Internet. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1200916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200916