A novel dynamic model for web malware spreading over scale-free networks

Wanping Liu and Shouming Zhong

Physica A: Statistical Mechanics and its Applications, 2018, vol. 505, issue C, 848-863

Abstract: The complex properties of real-world systems have been found in a wide range of physical and social networks. In this paper, a novel network-based model is developed to theoretically address the structure impact of scale-free networks on epidemic web malware spreading. We further split the compartments of the SDIRS model in terms of node degree, and apply the degree-based mean-field approach to formulate the model. The spreading threshold of the new model is explicitly calculated, and the global stability of the malware-free equilibrium is theoretically addressed provided the threshold below unity. Numerical simulations are given to illustrate the theoretical results. Moreover, the dynamics around the malware equilibrium and parameter analysis are also discussed by designing some numerical examples. The predictions are generally in agreement with numerical simulation results. Consequently, we suggest that web malware can be availably contained by properly adjusting the network structure so that the propagation threshold is less than unity.

Keywords: Malware spreading; Scale-free networks; Propagation dynamics; Stability analysis (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118304436
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:phsmap:v:505:y:2018:i:c:p:848-863

DOI: 10.1016/j.physa.2018.04.015

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().