A SEIQR Model considering the Effects of Different Quarantined Rates on Worm Propagation in Mobile Internet

Yonghua Zheng, Jianhua Zhu and Chaoan Lai

Mathematical Problems in Engineering, 2020, vol. 2020, 1-16

Abstract:

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 and obtain the threshold of quarantined rate such that the worm-free equilibrium is asymptotically stable when , implying that the worm dies out eventually and its attack remains under control; the endemic equilibrium is asymptotically stable when , namely, the worm is always persistent and spreading within a population. Hence, we give the quarantined strategy 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.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2020/8161595.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2020/8161595.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8161595

DOI: 10.1155/2020/8161595

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().