Modeling and analyzing of botnet interactions

Physica A: Statistical Mechanics and its Applications

Volumn 390, Issue 2, 2010, Pages 347-358

  Song, Li Peng ^a   Jin, Zhen ^a   Sun, Gui Quan ^a  

^a NORTH UNIVERSITY OF CHINA   (China)

Author keywords

Botnet; Fast game dynamics; Malware; Slow population dynamics

Indexed keywords

DYNAMICS; MALWARE; POPULATION DYNAMICS;

COMPETITIVE STRATEGY; COOPERATIVE STRATEGY; EQUILIBRIUM CONDITIONS; EVOLUTIONARY GAME MODELS; EVOLUTIONARY GAMES; INTERACTION MODEL; POPULATION DYNAMICS MODELS; STABLE EQUILIBRIUM;

BOTNET;

EID: 78649316131     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.10.001     Document Type: Article

References (25)

1. M. Overton Bots and botnets: risks, issues and prevention Proc. Virus Bull. Conf. 2005 2005 5 7
2. W.K. Lee, C. Wang, and D. Dagon Botnet Detection: Countering the Largest Security Threat 2008 Springer New York
3. D. Dagon, C. Zou, W.K. Lee, Modeling botnet propagation using time zones, in: Proceedings of 13th Annual Network and Distributed System Security, 2006.
4. J.C. Frauenthal Mathematical Modeling in Epidemiology 1980 Springer-Verlag Berlin
5. R.M. Anderson, R.M. May, and B. Anderson Infectious Diseases of Humans: Dynamics and Control 1992 Oxford University Press Oxford
6. J.D. Murray Mathematical Biology 2003 Springer Berlin
7. Malware evolution, 2008. 2009 [Online]. Available: http://www.viruslist. com/en/analysis?pubid=204792051.
8. S. Tanachaiwiwat, and A. Helmy Encounter-based worms: analysis and defense Ad Hoc Netw. 7 7 2009 1414 1430
9. J. Hofbauer, and K. Sigmund Evolutionary Games and Population Dynamics 1998 Cambridge University Press Cambridge
10. M.A. Nowak, and K. Sigmund Evolutionary dynamics of biological games Science 303 2004 793 798
11. P. Auger, and D. Pontier Fast game theory coupled to slow population dynamics: the case of domestic cat populations Math. Biosci. 148 1998 65 82
12. R. Mchich, P. Auger, and C. Lett Effects of aggregative and solitary individual behaviors on the dynamics of predatorprey game models Ecol. Model. 197 2006 281 289
13. W.H. Debany Jr. Modeling the spread of internet worms via persistently unpatched hosts IEEE Netw. 22 2 2008 26 32
14. E. Sanchez, P. Auger, and R. Bravo de la Parra Influence of individual aggressiveness on the dynamics of competitive populations Acta Biotheoretica 45 1997 321 333
15. P. Auger, and R. Bravo de la Parra Methods of aggregation of variables in population dynamics C. R. Acad. Sci., Paris 323 8 2000 665 674
16. N. Fenichel Persistence and smoothness of invariant manifolds for flows Indiana Univ. Math. J. 21 1971 193 226
17. M.W. Hirsch, S. Smale, and R.L. Devaney Differential Equations, Dynamical Systems, and An Introduction to Chaos second ed. 2003 Academic Press New York
18. D.T. Gillespie Exact stochastic simulation of coupled chemical reactions J. Phys. Chem. 81 25 1977 2340 2361
19. D. Arnaud, F. Nando de, and G. Neil Sequential Monte Carlo Methods in Practice 2001 Springer New York
20. F. Yang, H.X. Duan, and X. Li Modeling and analyzing of the interaction between worms and antiworms during network worm propagation Sci. China Ser. F 48 1 2005 91 106
21. B. Stephenson, and B. Sikdar A quasi-species model for the propagation and containment of polymorphic worms IEEE Trans. Comput. 58 9 2009 1289 1296
22. M. Vojnovic, and A.J. Ganesh On the race of worms, alerts, and patches IEEE/ACM Trans. Netw. 16 5 2008 1066 1079
23. S.H. Sellke, N.B. Shroff, and S. Bagchi Modeling and automated containment of worms IEEE Trans. Depend. Secure Comput. 5 2 2008 71 86
24. M. Hypponen Malware goes mobile Sci. Am. 295 5 2006 70 77
25. P. Wang, M.C. Gonzalez, C.A. Hidalgo, and A.L. Barabasi Understanding the spreading patterns of mobile phone viruses Science 324 2009 1071 1076