A delayed computer virus propagation model and its dynamics

Jianguo Ren, Xiaofan Yang, Lu-Xing Yang, Yonghong Xu and Fanzhou Yang

Chaos, Solitons & Fractals, 2012, vol. 45, issue 1, 74-79

Abstract: In this paper, we propose a delayed computer virus propagation model and study its dynamic behaviors. First, we give the threshold value R0 determining whether the virus dies out completely. Second, we study the local asymptotic stability of the equilibria of this model and it is found that, depending on the time delays, a Hopf bifurcation may occur in the model. Next, we prove that, if R0=1, the virus-free equilibrium is globally attractive; and when R0<1, it is globally asymptotically stable. Finally, a sufficient criterion for the global stability of the virus equilibrium is obtained.

Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (18)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077911001949
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:45:y:2012:i:1:p:74-79

DOI: 10.1016/j.chaos.2011.10.003

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().