An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate
Joint Authors
Yang, Wei
Yao, Yu
Wang, Ying
Fu, Qiang
Sheng, Chuan
Source
Security and Communication Networks
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-06
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Information Technology and Computer Science
Abstract EN
With rapid development of Internet, network security issues become increasingly serious.
Temporary patches have been put on the infectious hosts, which may lose efficacy on occasions.
This leads to a time delay when vaccinated hosts change to susceptible hosts.
On the other hand, the worm infection is usually a nonlinear process.
Considering the actual situation, a variable infection rate is introduced to describe the spread process of worms.
According to above aspects, we propose a time-delayed worm propagation model with variable infection rate.
Then the existence condition and the stability of the positive equilibrium are derived.
Due to the existence of time delay, the worm propagation system may be unstable and out of control.
Moreover, the threshold τ0 of Hopf bifurcation is obtained.
The worm propagation system is stable if time delay is less than τ0.
When time delay is over τ0, the system will be unstable.
In addition, numerical experiments have been performed, which can match the conclusions we deduce.
The numerical experiments also show that there exists a threshold in the parameter a, which implies that we should choose appropriate infection rate β(t) to constrain worm prevalence.
Finally, simulation experiments are carried out to prove the validity of our conclusions.
American Psychological Association (APA)
Yao, Yu& Fu, Qiang& Yang, Wei& Wang, Ying& Sheng, Chuan. 2018. An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate. Security and Communication Networks،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1214576
Modern Language Association (MLA)
Yao, Yu…[et al.]. An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate. Security and Communication Networks No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1214576
American Medical Association (AMA)
Yao, Yu& Fu, Qiang& Yang, Wei& Wang, Ying& Sheng, Chuan. An Epidemic Model of Computer Worms with Time Delay and Variable Infection Rate. Security and Communication Networks. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1214576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1214576