The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks
Joint Authors
Zhang, Juan
Zhang, Shujuan
Jin, Zhen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Passive worms are prone to spreading through Peer-to-Peer networks, and they pose a great threat to the security of the network.
In this paper, considering network heterogeneity and the number of hops a search can reach, we propose a novel mathematical model to study the dynamics of the propagation of passive worms.
For the proposed model, the basic reproduction number R0 is derived by employing the existence of the positive equilibrium.
And the stabilities of the worm-free equilibrium and positive equilibrium are analyzed.
Moreover, we verify the rationality of the model established by comparing the stochastic simulation with the numerical simulation.
Finally, we examine the effect of the number of hops on the spread of passive worms and discuss the various immunization strategies.
We find that if R0>1, the propagation speed of passive worms is accelerated with the increase of hop count d; if R0<1, the number of infected peers decreases rapidly with the increase of the value of d and drops to zero eventually.
Results show that the network topology and the number of hops can affect the spread of passive worms.
American Psychological Association (APA)
Zhang, Shujuan& Jin, Zhen& Zhang, Juan. 2018. The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152292
Modern Language Association (MLA)
Zhang, Shujuan…[et al.]. The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152292
American Medical Association (AMA)
Zhang, Shujuan& Jin, Zhen& Zhang, Juan. The Dynamical Modeling Analysis of the Spreading of Passive Worms in P2P Networks. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152292