Title
Treating scalability and modelling human countermeasures against local preference worms via gradient models
Abstract
A network worm is a specific type of malicious software that self propagates by exploiting application vulnerabilities in network-connected systems. Worm propagation models are mathematical models that attempt to capture the propagation dynamics of scanning worms as a means to understand their behaviour. It turns out that the emerged scalability in worm propagation plays an important role in order to describe the propagation in a realistic way. On the other hand human-based countermeasures also drastically affect the propagation in time and space. This work elaborates on a recent propagation model (Avlonitis et al. in J Comput Virol 3, 87–92, 2007) that makes use of Partial Differential Equations in order to treat correctly scalability and non-uniform behaviour (e.g., local preference worms). The aforementioned gradient model is extended in order to take into account human-based countermeasures that influence the propagation of local-preference worms in the Internet. Certain aspects of scalability emerged in random and local preference strategies are also discussed by means of random field considerations. As a result the size of a critical network that needs to be studied in order to describe the global propagation of a scanning worm is estimated. Finally, we present simulation results that validate the proposed analytical results and demonstrate the higher propagation rate of local preference worms compared with random scanning worms.
Year
DOI
Venue
2009
10.1007/s11416-008-0099-8
Journal in Computer Virology
Keywords
Field
DocType
partial differential equation,mathematical model,random field
Random field,Computer science,Theoretical computer science,Electronic countermeasure,Malware,Mathematical model,Partial differential equation,Intrusion detection system,The Internet,Scalability
Journal
Volume
Issue
ISSN
5
4
2263-8733
Citations 
PageRank 
References 
4
0.42
25
Authors
4
Name
Order
Citations
PageRank
Markos Avlonitis13710.98
Emmanouil Magkos221724.01
Michalis Stefanidakis3367.17
vassilios chrissikopoulos416016.11